12813200 has 60 divisors (see below), whose sum is σ = 31182528. Its totient is φ = 5059200.

The previous prime is 12813181. The next prime is 12813217. The reversal of 12813200 is 231821.

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, 41045 + ... + 41355.

Almost surely, 2^12813200 is an apocalyptic number.

12813200 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 12813200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15591264).

12813200 is an abundant number, since it is smaller than the sum of its proper divisors (18369328).

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

12813200 is a wasteful number, since it uses less digits than its factorization.

12813200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 421 counting only the distinct ones).

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

The square root of 12813200 is about 3579.5530447250. The cubic root of 12813200 is about 234.0018019196.

The spelling of 12813200 in words is "twelve million, eight hundred thirteen thousand, two hundred".