125812400 has 150 divisors (see below), whose sum is σ = 355312452. Its totient is φ = 42806400.

The previous prime is 125812397. The next prime is 125812409. The reversal of 125812400 is 4218521.

It is not an unprimeable number, because it can be changed into a prime (125812409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 960335 + ... + 960465.

Almost surely, 2^125812400 is an apocalyptic number.

125812400 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 125812400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177656226).

125812400 is an abundant number, since it is smaller than the sum of its proper divisors (229500052).

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

125812400 is an equidigital number, since it uses as much as digits as its factorization.

125812400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 125812400 is about 11216.6126794144. The cubic root of 125812400 is about 501.0808617919.

The spelling of 125812400 in words is "one hundred twenty-five million, eight hundred twelve thousand, four hundred".