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12344112324 = 2232627154679
BaseRepresentation
bin10110111111100010…
…00011010011000100
31011212021121212201100
423133301003103010
5200240043043244
65400521100100
7614620136445
oct133761032304
934767555640
1012344112324
115264a25325
122486027630
131219538b9b
148515d52cc
154c3a94b69
hex2dfc434c4

12344112324 has 36 divisors (see below), whose sum is σ = 31208719360. Its totient is φ = 4113972720.

The previous prime is 12344112323. The next prime is 12344112329. The reversal of 12344112324 is 42321144321.

12344112324 is a `hidden beast` number, since 12 + 3 + 4 + 411 + 232 + 4 = 666.

12344112324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12344112323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198417 + ... + 253095.

Almost surely, 212344112324 is an apocalyptic number.

It is an amenable number.

12344112324 is an abundant number, since it is smaller than the sum of its proper divisors (18864607036).

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

12344112324 is a wasteful number, since it uses less digits than its factorization.

12344112324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60960 (or 60955 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12344112324 its reverse (42321144321), we get a palindrome (54665256645).

The spelling of 12344112324 in words is "twelve billion, three hundred forty-four million, one hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 6271 12542 18813 25084 37626 54679 56439 75252 109358 112878 164037 218716 225756 328074 492111 656148 984222 1968444 342892009 685784018 1028676027 1371568036 2057352054 3086028081 4114704108 6172056162 12344112324