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12041586088752 = 24311173733596599
BaseRepresentation
bin1010111100111010011001…
…1101100001101100110000
31120122011102211122022000210
42233032212131201230300
53034242132014320002
641335454524144120
72351655504643533
oct257164635415460
946564384568023
1012041586088752
1139228984728a0
1214258a6998040
13694694246cac
142d8b5ca9ca1a
1515d368ca996c
hexaf3a6761b30

12041586088752 has 160 divisors (see below), whose sum is σ = 36027919065600. Its totient is φ = 3425112207360.

The previous prime is 12041586088733. The next prime is 12041586088781. The reversal of 12041586088752 is 25788068514021.

It is a junction number, because it is equal to n+sod(n) for n = 12041586088692 and 12041586088701.

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, 1549749 + ... + 5146347.

It is an arithmetic number, because the mean of its divisors is an integer number (225174494160).

Almost surely, 212041586088752 is an apocalyptic number.

12041586088752 is a gapful number since it is divisible by the number (12) 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 12041586088752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18013959532800).

12041586088752 is an abundant number, since it is smaller than the sum of its proper divisors (23986332976848).

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

12041586088752 is a wasteful number, since it uses less digits than its factorization.

12041586088752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597011 (or 3597005 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 57.

The spelling of 12041586088752 in words is "twelve trillion, forty-one billion, five hundred eighty-six million, eighty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 373 374 408 528 561 746 748 816 1119 1122 1492 1496 2238 2244 2984 2992 4103 4476 4488 5968 6341 8206 8952 8976 12309 12682 16412 17904 19023 24618 25364 32824 38046 49236 50728 65648 69751 76092 98472 101456 139502 152184 196944 209253 279004 304368 418506 558008 837012 1116016 1674024 3348048 3596599 7193198 10789797 14386396 21579594 28772792 39562589 43159188 57545584 61142183 79125178 86318376 118687767 122284366 158250356 172636752 183426549 237375534 244568732 316500712 366853098 474751068 489137464 633001424 672564013 733706196 949502136 978274928 1341531427 1345128026 1467412392 1899004272 2017692039 2683062854 2690256052 2934824784 4024594281 4035384078 5366125708 5380512104 8049188562 8070768156 10732251416 10761024208 14756845697 16098377124 16141536312 21464502832 22806034259 29513691394 32196754248 32283072624 44270537091 45612068518 59027382788 64393508496 68418102777 88541074182 91224137036 118054765576 136836205554 177082148364 182448274072 236109531152 250866376849 273672411108 354164296728 364896548144 501732753698 547344822216 708328593456 752599130547 1003465507396 1094689644432 1505198261094 2006931014792 3010396522188 4013862029584 6020793044376 12041586088752