125008963200 has 768 divisors, whose sum is σ = 515309875200. Its totient is φ = 29320704000.

The previous prime is 125008963117. The next prime is 125008963217. The reversal of 125008963200 is 2369800521.

125008963200 is a `hidden beast` number, since 1 + 250 + 0 + 89 + 6 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 29460279 + ... + 29464521.

It is an arithmetic number, because the mean of its divisors is an integer number (670976400).

Almost surely, 2^125008963200 is an apocalyptic number.

125008963200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125008963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257654937600).

125008963200 is an abundant number, since it is smaller than the sum of its proper divisors (390300912000).

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

125008963200 is a wasteful number, since it uses less digits than its factorization.

125008963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 125008963200 in words is "one hundred twenty-five billion, eight million, nine hundred sixty-three thousand, two hundred".