125200400 has 60 divisors (see below), whose sum is σ = 323945412. Its totient is φ = 46225920.

The previous prime is 125200381. The next prime is 125200403. The reversal of 125200400 is 4002521.

It can be written as a sum of positive squares in 6 ways, for example, as 565504 + 124634896 = 752^2 + 11164^2 .

It is not an unprimeable number, because it can be changed into a prime (125200403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6839 + ... + 17238.

Almost surely, 2^125200400 is an apocalyptic number.

125200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125200400 is an abundant number, since it is smaller than the sum of its proper divisors (198745012).

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

125200400 is a wasteful number, since it uses less digits than its factorization.

125200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24108 (or 24097 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 125200400 is about 11189.2984587954. The cubic root of 125200400 is about 500.2670573354.

Adding to 125200400 its reverse (4002521), we get a palindrome (129202921).

The spelling of 125200400 in words is "one hundred twenty-five million, two hundred thousand, four hundred".