12500400 has 120 divisors (see below), whose sum is σ = 43729344. Its totient is φ = 3027200.

The previous prime is 12500359. The next prime is 12500419. The reversal of 12500400 is 400521.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12727 + ... + 13673.

Almost surely, 2^12500400 is an apocalyptic number.

12500400 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 12500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21864672).

12500400 is an abundant number, since it is smaller than the sum of its proper divisors (31228944).

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

12500400 is a wasteful number, since it uses less digits than its factorization.

12500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 12500400 is about 3535.5904740227. The cubic root of 12500400 is about 232.0819171683.

Adding to 12500400 its reverse (400521), we get a palindrome (12900921).

The spelling of 12500400 in words is "twelve million, five hundred thousand, four hundred".