125200884800 has 84 divisors (see below), whose sum is σ = 308665792116. Its totient is φ = 49983897600.

The previous prime is 125200884791. The next prime is 125200884817. The reversal of 125200884800 is 8488002521.

It can be written as a sum of positive squares in 6 ways, for example, as 21367422976 + 103833461824 = 146176^2 + 322232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 758504 + ... + 908696.

Almost surely, 2^125200884800 is an apocalyptic number.

125200884800 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 125200884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154332896058).

125200884800 is an abundant number, since it is smaller than the sum of its proper divisors (183464907316).

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

125200884800 is a wasteful number, since it uses less digits than its factorization.

125200884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150736 (or 150721 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 38.

The spelling of 125200884800 in words is "one hundred twenty-five billion, two hundred million, eight hundred eighty-four thousand, eight hundred".