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12012102213012 = 22331119532168271
BaseRepresentation
bin1010111011001100100100…
…0101011101110110010100
31120112100100001112020001000
42232303021011131312110
53033301241131304022
641314141130303300
72346563043066246
oct256631105356624
946470301466030
1012012102213012
1139113385a9640
121420038887b30
13691975a91285
142d7563006096
1515c6e06316ac
hexaecc915dd94

12012102213012 has 96 divisors (see below), whose sum is σ = 35761707878400. Its totient is φ = 3448450389600.

The previous prime is 12012102212987. The next prime is 12012102213029. The reversal of 12012102213012 is 21031220121021.

12012102213012 is a `hidden beast` number, since 1 + 20 + 121 + 0 + 221 + 301 + 2 = 666.

It is a super-2 number, since 2×120121022130122 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266061564 + ... + 266106707.

It is an arithmetic number, because the mean of its divisors is an integer number (372517790400).

Almost surely, 212012102213012 is an apocalyptic number.

12012102213012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12012102213012 is an abundant number, since it is smaller than the sum of its proper divisors (23749605665388).

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

12012102213012 is a wasteful number, since it uses less digits than its factorization.

12012102213012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532168314 (or 532168306 counting only the distinct ones).

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

Adding to 12012102213012 its reverse (21031220121021), we get a palindrome (33043322334033).

The spelling of 12012102213012 in words is "twelve trillion, twelve billion, one hundred two million, two hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 132 171 198 209 228 297 342 396 418 513 594 627 684 836 1026 1188 1254 1881 2052 2508 3762 5643 7524 11286 22572 532168271 1064336542 1596504813 2128673084 3193009626 4789514439 5853850981 6386019252 9579028878 10111197149 11707701962 14368543317 17561552943 19158057756 20222394298 23415403924 28737086634 30333591447 35123105886 40444788596 52684658829 57474173268 60667182894 70246211772 91000774341 105369317658 111223168639 121334365788 158053976487 182001548682 210738635316 222446337278 273002323023 316107952974 333669505917 364003097364 444892674556 546004646046 632215905948 667339011834 1001008517751 1092009292092 1334678023668 2002017035502 3003025553253 4004034071004 6006051106506 12012102213012