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12041112031044 = 223191091932510429
BaseRepresentation
bin1010111100111000101000…
…1101001000111101000100
31120122010012210121200002220
42233032022031020331010
53034240144134443134
641335335511332340
72351640660345225
oct257161215107504
946563183550086
1012041112031044
113922674915268
1214257940810b0
13694619c75c85
142d8b15b3b24c
1515d33c368149
hexaf38a348f44

12041112031044 has 96 divisors (see below), whose sum is σ = 30000642672000. Its totient is φ = 3748048920576.

The previous prime is 12041112031031. The next prime is 12041112031049. The reversal of 12041112031044 is 44013021114021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12041112031049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3541222 + ... + 6051650.

It is an arithmetic number, because the mean of its divisors is an integer number (312506694500).

Almost surely, 212041112031044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12041112031044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15000321336000).

12041112031044 is an abundant number, since it is smaller than the sum of its proper divisors (17959530640956).

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

12041112031044 is a wasteful number, since it uses less digits than its factorization.

12041112031044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510757 (or 2510755 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12041112031044 its reverse (44013021114021), we get a palindrome (56054133145065).

The spelling of 12041112031044 in words is "twelve trillion, forty-one billion, one hundred twelve million, thirty-one thousand, forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 109 114 193 218 228 327 386 436 579 654 772 1158 1308 2071 2316 3667 4142 6213 7334 8284 11001 12426 14668 21037 22002 24852 42074 44004 63111 84148 126222 252444 399703 799406 1199109 1598812 2398218 2510429 4796436 5020858 7531287 10041716 15062574 30125148 47698151 95396302 143094453 190792604 273636761 286188906 484512797 547273522 572377812 820910283 969025594 1094547044 1453538391 1641820566 1938051188 2907076782 3283641132 5199098459 5814153564 9205743143 10398196918 15597295377 18411486286 20796393836 27617229429 31194590754 36822972572 52811894873 55234458858 62389181508 105623789746 110468917716 158435684619 211247579492 316871369238 633742738476 1003426002587 2006852005174 3010278007761 4013704010348 6020556015522 12041112031044