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12312410123 = 1317510710909
BaseRepresentation
bin10110111011110000…
…00111100000001011
31011210001222020110202
423131320013200023
5200203434110443
65353425402415
7614053521266
oct133570074013
934701866422
1012312410123
115249041a62
12247749940b
131212ab91a0
1484b301cdd
154c0dd17b8
hex2dde0780b

12312410123 has 16 divisors (see below), whose sum is σ = 14043526560. Its totient is φ = 10693679616.

The previous prime is 12312410101. The next prime is 12312410137. The reversal of 12312410123 is 32101421321.

12312410123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12312410123 - 224 = 12295632907 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12312410095 and 12312410104.

It is not an unprimeable number, because it can be changed into a prime (12312410183) 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 15 ways as a sum of consecutive naturals, for example, 1123193 + ... + 1134101.

It is an arithmetic number, because the mean of its divisors is an integer number (877720410).

Almost surely, 212312410123 is an apocalyptic number.

12312410123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12312410123 is a deficient number, since it is larger than the sum of its proper divisors (1731116437).

12312410123 is a wasteful number, since it uses less digits than its factorization.

12312410123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16046.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12312410123 its reverse (32101421321), we get a palindrome (44413831444).

The spelling of 12312410123 in words is "twelve billion, three hundred twelve million, four hundred ten thousand, one hundred twenty-three".

Divisors: 1 13 17 221 5107 10909 66391 86819 141817 185453 1128647 2410889 55712263 724259419 947108471 12312410123