125712400 has 60 divisors (see below), whose sum is σ = 329492304. Its totient is φ = 45712000.

The previous prime is 125712397. The next prime is 125712401. The reversal of 125712400 is 4217521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (125712401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9886 + ... + 18685.

Almost surely, 2^125712400 is an apocalyptic number.

125712400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125712400 is an abundant number, since it is smaller than the sum of its proper divisors (203779904).

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

125712400 is a wasteful number, since it uses less digits than its factorization.

125712400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28600 (or 28589 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 125712400 is about 11212.1541195258. The cubic root of 125712400 is about 500.9480678651.

Adding to 125712400 its reverse (4217521), we get a palindrome (129929921).

The spelling of 125712400 in words is "one hundred twenty-five million, seven hundred twelve thousand, four hundred".