12312800 has 36 divisors (see below), whose sum is σ = 30060576. Its totient is φ = 4924800.

The previous prime is 12312799. The next prime is 12312803. The reversal of 12312800 is 821321.

12312800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6896 + ... + 8495.

It is an arithmetic number, because the mean of its divisors is an integer number (835016).

Almost surely, 2^12312800 is an apocalyptic number.

12312800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12312800 is an abundant number, since it is smaller than the sum of its proper divisors (17747776).

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

12312800 is a wasteful number, since it uses less digits than its factorization.

12312800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15411 (or 15398 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 12312800 is about 3508.9599598742. The cubic root of 12312800 is about 230.9150690693.

The spelling of 12312800 in words is "twelve million, three hundred twelve thousand, eight hundred".