12908800 has 54 divisors (see below), whose sum is σ = 31967138. Its totient is φ = 5160960.

The previous prime is 12908783. The next prime is 12908807. The reversal of 12908800 is 880921.

It can be written as a sum of positive squares in 3 ways, for example, as 2359296 + 10549504 = 1536^2 + 3248^2 .

It is not an unprimeable number, because it can be changed into a prime (12908807) 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, 5392 + ... + 7408.

Almost surely, 2^12908800 is an apocalyptic number.

12908800 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 12908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15983569).

12908800 is an abundant number, since it is smaller than the sum of its proper divisors (19058338).

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

12908800 is an equidigital number, since it uses as much as digits as its factorization.

12908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 12908800 is about 3592.8818516617. The cubic root of 12908800 is about 234.5823273596.

The spelling of 12908800 in words is "twelve million, nine hundred eight thousand, eight hundred".