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12440121144 = 23311172771863
BaseRepresentation
bin10111001010111110…
…10010111100111000
31012002222021122001120
423211133102330320
5200434132334034
65414230545240
7620164166523
oct134537227470
935088248046
1012440121144
115304140160
1224b2208220
1312333b2b39
14860267bba
154cc20bc49
hex2e57d2f38

12440121144 has 64 divisors (see below), whose sum is σ = 35923357440. Its totient is φ = 3547983360.

The previous prime is 12440121143. The next prime is 12440121173. The reversal of 12440121144 is 44112104421.

It is a super-2 number, since 2×124401211442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12440121143) 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, 1381444 + ... + 1390419.

It is an arithmetic number, because the mean of its divisors is an integer number (561302460).

Almost surely, 212440121144 is an apocalyptic number.

It is an amenable number.

12440121144 is an abundant number, since it is smaller than the sum of its proper divisors (23483236296).

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

12440121144 is a wasteful number, since it uses less digits than its factorization.

12440121144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771900 (or 2771896 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 12440121144 its reverse (44112104421), we get a palindrome (56552225565).

The spelling of 12440121144 in words is "twelve billion, four hundred forty million, one hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 2771863 5543726 8315589 11087452 16631178 22174904 30490493 33262356 47121671 60980986 66524712 91471479 94243342 121961972 141365013 182942958 188486684 243923944 282730026 365885916 376973368 518338381 565460052 731771832 1036676762 1130920104 1555015143 2073353524 3110030286 4146707048 6220060572 12440121144