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12340613412 = 2234172240489
BaseRepresentation
bin10110111111000111…
…01101000100100100
31011212001001010010000
423133203231010210
5200233144112122
65400314101300
7614545324521
oct133743550444
934761033100
1012340613412
115262a55566
122484a1a830
1312188b241a
14850d64148
154c36030ac
hex2df8ed124

12340613412 has 60 divisors (see below), whose sum is σ = 34158510540. Its totient is φ = 3871563264.

The previous prime is 12340613399. The next prime is 12340613413. The reversal of 12340613412 is 21431604321.

It is a happy number.

12340613412 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 0 + 613 + 41 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7135856676 + 5204756736 = 84474^2 + 72144^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12340613413) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1114737 + ... + 1125752.

It is an arithmetic number, because the mean of its divisors is an integer number (569308509).

Almost surely, 212340613412 is an apocalyptic number.

12340613412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12340613412 is an abundant number, since it is smaller than the sum of its proper divisors (21817897128).

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

12340613412 is a wasteful number, since it uses less digits than its factorization.

12340613412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240522 (or 2240511 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Subtracting 12340613412 from its reverse (21431604321), we obtain a palindrome (9090990909).

The spelling of 12340613412 in words is "twelve billion, three hundred forty million, six hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 2240489 4480978 6721467 8961956 13442934 20164401 26885868 38088313 40328802 60493203 76176626 80657604 114264939 120986406 152353252 181479609 228529878 241972812 342794817 362959218 457059756 685589634 725918436 1028384451 1371179268 2056768902 3085153353 4113537804 6170306706 12340613412