125205200 has 60 divisors (see below), whose sum is σ = 304271820. Its totient is φ = 49505280.

The previous prime is 125205181. The next prime is 125205211. The reversal of 125205200 is 2502521.

It can be written as a sum of positive squares in 6 ways, for example, as 33856 + 125171344 = 184^2 + 11188^2 .

It is a congruent number.

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, 33842 + ... + 37358.

It is an arithmetic number, because the mean of its divisors is an integer number (5071197).

Almost surely, 2^125205200 is an apocalyptic number.

125205200 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 125205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152135910).

125205200 is an abundant number, since it is smaller than the sum of its proper divisors (179066620).

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

125205200 is a wasteful number, since it uses less digits than its factorization.

125205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 125205200 is about 11189.5129473986. The cubic root of 125205200 is about 500.2734504225.

Adding to 125205200 its reverse (2502521), we get a palindrome (127707721).

The spelling of 125205200 in words is "one hundred twenty-five million, two hundred five thousand, two hundred".