129103117076624 has 160 divisors (see below), whose sum is σ = 262048467824640. Its totient is φ = 61565512320000.

The previous prime is 129103117076597. The next prime is 129103117076677. The reversal of 129103117076624 is 426670711301921.

129103117076624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×129103117076624² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12482167997 + ... + 12482178339.

It is an arithmetic number, because the mean of its divisors is an integer number (1637802923904).

Almost surely, 2^{129103117076624} is an apocalyptic number.

It is an amenable number.

129103117076624 is an abundant number, since it is smaller than the sum of its proper divisors (132945350748016).

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

129103117076624 is a wasteful number, since it uses less digits than its factorization.

129103117076624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12829 (or 12823 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 50.

The spelling of 129103117076624 in words is "one hundred twenty-nine trillion, one hundred three billion, one hundred seventeen million, seventy-six thousand, six hundred twenty-four".