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12021211032120 = 23325191757486993
BaseRepresentation
bin1010111011101110100000…
…0000110110101000111000
31120120012211212101011210200
42232323220000312220320
53033423420011011440
641322245040042200
72350334546553213
oct256735000665070
946505755334720
1012021211032120
113915192265214
12142195b303360
13692797c52274
142d7b88a6677a
1515ca75155c30
hexaeee8036a38

12021211032120 has 96 divisors (see below), whose sum is σ = 41125195659600. Its totient is φ = 3036937522176.

The previous prime is 12021211032119. The next prime is 12021211032163. The reversal of 12021211032120 is 2123011212021.

12021211032120 is a `hidden beast` number, since 1 + 2 + 0 + 212 + 110 + 321 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12021211032093 and 12021211032102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 878736657 + ... + 878750336.

Almost surely, 212021211032120 is an apocalyptic number.

12021211032120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021211032120 is an abundant number, since it is smaller than the sum of its proper divisors (29103984627480).

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

12021211032120 is a wasteful number, since it uses less digits than its factorization.

12021211032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757487029 (or 1757487022 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12021211032120 its reverse (2123011212021), we get a palindrome (14144222244141).

The spelling of 12021211032120 in words is "twelve trillion, twenty-one billion, two hundred eleven million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 1757486993 3514973986 5272460979 7029947972 8787434965 10544921958 14059895944 15817382937 17574869930 21089843916 26362304895 31634765874 33392252867 35149739860 42179687832 52724609790 63269531748 66784505734 70299479720 79086914685 100176758601 105449219580 126539063496 133569011468 158173829370 166961264335 200353517202 210898439160 267138022936 300530275803 316347658740 333922528670 400707034404 500883793005 601060551606 632695317480 667845057340 801414068808 1001767586010 1202121103212 1335690114680 1502651379015 2003535172020 2404242206424 3005302758030 4007070344040 6010605516060 12021211032120