12959144319 has 32 divisors (see below), whose sum is σ = 20034584064. Its totient is φ = 7363834880.

The previous prime is 12959144287. The next prime is 12959144333. The reversal of 12959144319 is 91344195921.

It is a cyclic number.

It is not a de Polignac number, because 12959144319 - 2⁵ = 12959144287 is a prime.

It is a super-2 number, since 2×12959144319² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12959144399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103627 + ... + 191459.

It is an arithmetic number, because the mean of its divisors is an integer number (626080752).

Almost surely, 2^12959144319 is an apocalyptic number.

12959144319 is a deficient number, since it is larger than the sum of its proper divisors (7075439745).

12959144319 is a wasteful number, since it uses less digits than its factorization.

12959144319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88127.

The product of its digits is 349920, while the sum is 48.

The spelling of 12959144319 in words is "twelve billion, nine hundred fifty-nine million, one hundred forty-four thousand, three hundred nineteen".