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12044342400024 = 23311192401184689
BaseRepresentation
bin1010111101000100101011…
…0000000001010000011000
31120122102112221010102021110
42233101022300001100120
53034313303123300044
641341032225340320
72352114014131464
oct257211260012030
946572487112243
1012044342400024
113923a823202a0
121426335a976a0
13694a132b86cc
142d8d40b8d4a4
1515d47ac646b9
hexaf44ac01418

12044342400024 has 64 divisors (see below), whose sum is σ = 34577059536000. Its totient is φ = 3457705950720.

The previous prime is 12044342400019. The next prime is 12044342400029. The reversal of 12044342400024 is 42000424344021.

It is an interprime number because it is at equal distance from previous prime (12044342400019) and next prime (12044342400029).

It is a junction number, because it is equal to n+sod(n) for n = 12044342399964 and 12044342400000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12044342400029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1200587329 + ... + 1200597360.

It is an arithmetic number, because the mean of its divisors is an integer number (540266555250).

Almost surely, 212044342400024 is an apocalyptic number.

It is an amenable number.

12044342400024 is an abundant number, since it is smaller than the sum of its proper divisors (22532717135976).

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

12044342400024 is a wasteful number, since it uses less digits than its factorization.

12044342400024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401184728 (or 2401184724 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 12044342400024 its reverse (42000424344021), we get a palindrome (54044766744045).

The spelling of 12044342400024 in words is "twelve trillion, forty-four billion, three hundred forty-two million, four hundred thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 2401184689 4802369378 7203554067 9604738756 14407108134 19209477512 26413031579 28814216268 45622509091 52826063158 57628432536 79239094737 91245018182 105652126316 136867527273 158478189474 182490036364 211304252632 273735054546 316956378948 364980072728 501847600001 547470109092 633912757896 1003695200002 1094940218184 1505542800003 2007390400004 3011085600006 4014780800008 6022171200012 12044342400024