12560800 has 72 divisors (see below), whose sum is σ = 35060256. Its totient is φ = 4304640.

The previous prime is 12560791. The next prime is 12560803. The reversal of 12560800 is 806521.

12560800 = T₂₈₈ + T₂₈₉ + ... + T₄₆₂.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12560803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4479 + ... + 6721.

It is an arithmetic number, because the mean of its divisors is an integer number (486948).

Almost surely, 2^12560800 is an apocalyptic number.

12560800 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 12560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17530128).

12560800 is an abundant number, since it is smaller than the sum of its proper divisors (22499456).

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

12560800 is a wasteful number, since it uses less digits than its factorization.

12560800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 12560800 is about 3544.1218940663. The cubic root of 12560800 is about 232.4551113864.

The spelling of 12560800 in words is "twelve million, five hundred sixty thousand, eight hundred".