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12122321111120 = 2451159523344617
BaseRepresentation
bin1011000001100111001010…
…1001001100100001010000
31120220212211101211101011102
42300121302221030201100
53042103003201023440
641440530100003532
72360544263213513
oct260316251144120
946825741741142
1012122321111120
11395405826a080
1214394789905a8
1369c18c73118c
142dca1b2cad7a
151604e1a67b15
hexb0672a4c850

12122321111120 has 160 divisors (see below), whose sum is σ = 31274419559040. Its totient is φ = 4332477726720.

The previous prime is 12122321111111. The next prime is 12122321111129. The reversal of 12122321111120 is 2111112322121.

It is an interprime number because it is at equal distance from previous prime (12122321111111) and next prime (12122321111129).

It is a super-2 number, since 2×121223211111202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12122321111092 and 12122321111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122321111129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271675052 + ... + 271719668.

It is an arithmetic number, because the mean of its divisors is an integer number (195465122244).

Almost surely, 212122321111120 is an apocalyptic number.

12122321111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122321111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15637209779520).

12122321111120 is an abundant number, since it is smaller than the sum of its proper divisors (19152098447920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12122321111120 is a wasteful number, since it uses less digits than its factorization.

12122321111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49933 (or 49927 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 12122321111120 its reverse (2111112322121), we get a palindrome (14233433433241).

The spelling of 12122321111120 in words is "twelve trillion, one hundred twenty-two billion, three hundred twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 110 118 176 220 236 295 440 472 590 649 880 944 1180 1298 2360 2596 3245 4720 5192 5233 6490 10384 10466 12980 20932 25960 26165 41864 44617 51920 52330 57563 83728 89234 104660 115126 178468 209320 223085 230252 287815 308747 356936 418640 446170 460504 490787 575630 617494 713872 892340 921008 981574 1151260 1234988 1543735 1784680 1963148 2302520 2453935 2469976 2632403 3087470 3396217 3569360 3926296 4605040 4907870 4939952 5264806 6174940 6792434 7852592 9815740 10529612 12349880 13162015 13584868 16981085 19631480 21059224 24699760 26324030 27169736 28956433 33962170 39262960 42118448 52648060 54339472 57912866 67924340 105296120 115825732 135848680 144782165 210592240 231651464 233480761 271697360 289564330 463302928 466961522 579128660 933923044 1158257320 1167403805 1867846088 2316514640 2334807610 2568288371 3735692176 4669615220 5136576742 9339230440 10273153484 12841441855 13775364899 18678460880 20546306968 25682883710 27550729798 41092613936 51365767420 55101459596 68876824495 102731534840 110202919192 137753648990 151529013889 205463069680 220405838384 275507297980 303058027778 551014595960 606116055556 757645069445 1102029191920 1212232111112 1515290138890 2424464222224 3030580277780 6061160555560 12122321111120