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12012107041836 = 22321127337775347
BaseRepresentation
bin1010111011001100100101…
…0111111000110000101100
31120112100100101121112221100
42232303021113320300230
53033301243400314321
641314141422003100
72346563132120406
oct256631127706054
946470311545840
1012012107041836
1139113402a7600
12142003a416490
13691976a92175
142d7563901b76
1515c6e0c87326
hexaecc95f8c2c

12012107041836 has 108 divisors (see below), whose sum is σ = 33832432726456. Its totient is φ = 3590168883840.

The previous prime is 12012107041829. The next prime is 12012107041873. The reversal of 12012107041836 is 63814070121021.

12012107041836 is a `hidden beast` number, since 1 + 20 + 1 + 210 + 7 + 0 + 418 + 3 + 6 = 666.

It is a super-3 number, since 3×120121070418363 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12012107041836.

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 35 ways as a sum of consecutive naturals, for example, 18569686 + ... + 19205661.

Almost surely, 212012107041836 is an apocalyptic number.

It is an amenable number.

12012107041836 is an abundant number, since it is smaller than the sum of its proper divisors (21820325684620).

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

12012107041836 is a wasteful number, since it uses less digits than its factorization.

12012107041836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37775452 (or 37775436 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 12012107041836 its reverse (63814070121021), we get a palindrome (75826177162857).

The spelling of 12012107041836 in words is "twelve trillion, twelve billion, one hundred seven million, forty-one thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 121 132 146 198 219 242 292 363 396 438 484 657 726 803 876 1089 1314 1452 1606 2178 2409 2628 3212 4356 4818 7227 8833 9636 14454 17666 26499 28908 35332 52998 79497 105996 158994 317988 37775347 75550694 113326041 151101388 226652082 339978123 415528817 453304164 679956246 831057634 1246586451 1359912492 1662115268 2493172902 2757600331 3739759353 4570816987 4986345804 5515200662 7479518706 8272800993 9141633974 11030401324 13712450961 14959037412 16545601986 18283267948 24818402979 27424901922 30333603641 33091203972 41137352883 49636805958 54849803844 60667207282 82274705766 91000810923 99273611916 121334414564 164549411532 182001621846 273002432769 333669640051 364003243692 546004865538 667339280102 1001008920153 1092009731076 1334678560204 2002017840306 3003026760459 4004035680612 6006053520918 12012107041836