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121220011220 = 225721122749537
BaseRepresentation
bin111000011100101000…
…1101001010011010100
3102120220000211121021012
41300321101221103110
53441224310324340
6131404313311352
711520642044300
oct1607121512324
9376800747235
10121220011220
1147455599660
121b5b0405558
13b57ab970b9
145c1d3a4d00
153247145565
hex1c394694d4

121220011220 has 144 divisors (see below), whose sum is σ = 324473107392. Its totient is φ = 37615656960.

The previous prime is 121220011217. The next prime is 121220011259. The reversal of 121220011220 is 22110022121.

121220011220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1212200112202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 121220011195 and 121220011204.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2422292 + ... + 2471828.

It is an arithmetic number, because the mean of its divisors is an integer number (2253285468).

Almost surely, 2121220011220 is an apocalyptic number.

121220011220 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 121220011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162236553696).

121220011220 is an abundant number, since it is smaller than the sum of its proper divisors (203253096172).

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

121220011220 is a wasteful number, since it uses less digits than its factorization.

121220011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49798 (or 49789 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121220011220 its reverse (22110022121), we get a palindrome (143330033341).

The spelling of 121220011220 in words is "one hundred twenty-one billion, two hundred twenty million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 227 245 308 385 454 490 539 770 908 980 1078 1135 1540 1589 2156 2270 2497 2695 3178 4540 4994 5390 6356 7945 9988 10780 11123 12485 15890 17479 22246 24970 31780 34958 44492 49537 49940 55615 69916 87395 99074 111230 122353 174790 198148 222460 244706 247685 346759 349580 489412 495370 544907 611765 693518 990740 1089814 1223530 1387036 1733795 2179628 2427313 2447060 2724535 3467590 3814349 4854626 5449070 6935180 7628698 9709252 10898140 11244899 12136565 15257396 19071745 22489798 24273130 26700443 38143490 44979596 48546260 53400886 56224495 76286980 78714293 106801772 112448990 123693889 133502215 157428586 224897980 247387778 267004430 314857172 393571465 494775556 534008860 551000051 618469445 787142930 865857223 1102000102 1236938890 1574285860 1731714446 2204000204 2473877780 2755000255 3463428892 4329286115 5510000510 6061000561 8658572230 11020001020 12122001122 17317144460 24244002244 30305002805 60610005610 121220011220