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12011210023120 = 2457114759409723
BaseRepresentation
bin1010111011001001001111…
…1010000010000011010000
31120112021000212201021120221
42232302103322002003100
53033242424231214440
641313512415442424
72346531660436450
oct256622372020320
946467025637527
1012011210023120
113910a1aa21120
12141ba29b26414
13691862ca0769
142d74ba71dd60
1515c68c148d4a
hexaec93e820d0

12011210023120 has 160 divisors (see below), whose sum is σ = 34824311101440. Its totient is φ = 3742957969920.

The previous prime is 12011210023103. The next prime is 12011210023261. The reversal of 12011210023120 is 2132001211021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12011210023094 and 12011210023103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29110579 + ... + 29520301.

It is an arithmetic number, because the mean of its divisors is an integer number (217651944384).

Almost surely, 212011210023120 is an apocalyptic number.

12011210023120 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 12011210023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17412155550720).

12011210023120 is an abundant number, since it is smaller than the sum of its proper divisors (22813101078320).

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

12011210023120 is a wasteful number, since it uses less digits than its factorization.

12011210023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414513 (or 414507 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12011210023120 its reverse (2132001211021), we get a palindrome (14143211234141).

The spelling of 12011210023120 in words is "twelve trillion, eleven billion, two hundred ten million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 4759 6160 9518 19036 23795 33313 38072 47590 52349 66626 76144 95180 104698 133252 166565 190360 209396 261745 266504 333130 366443 380720 409723 418792 523490 533008 666260 732886 819446 837584 1046980 1332520 1465772 1638892 1832215 2048615 2093960 2665040 2868061 2931544 3277784 3664430 4097230 4187920 4506953 5736122 5863088 6555568 7328860 8194460 9013906 11472244 14340305 14657720 16388920 18027812 22534765 22944488 28680610 29315440 31548671 32777840 36055624 45069530 45888976 57361220 63097342 72111248 90139060 114722440 126194684 157743355 180278120 229444880 252389368 315486710 360556240 504778736 630973420 1261946840 1949871757 2523893680 3899743514 7799487028 9749358785 13649102299 15598974056 19498717570 21448589327 27298204598 31197948112 38997435140 42897178654 54596409196 68245511495 77994870280 85794357308 107242946635 109192818392 136491022990 150140125289 155989740560 171588714616 214485893270 218385636784 272982045980 300280250578 343177429232 428971786540 545964091960 600560501156 750700626445 857943573080 1091928183920 1201121002312 1501401252890 1715887146160 2402242004624 3002802505780 6005605011560 12011210023120