12520800 has 216 divisors, whose sum is σ = 46309536. Its totient is φ = 3179520.

The previous prime is 12520793. The next prime is 12520811. The reversal of 12520800 is 802521.

12520800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266377 + ... + 266423.

It is an arithmetic number, because the mean of its divisors is an integer number (214396).

Almost surely, 2^12520800 is an apocalyptic number.

12520800 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 12520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23154768).

12520800 is an abundant number, since it is smaller than the sum of its proper divisors (33788736).

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

12520800 is a wasteful number, since it uses less digits than its factorization.

12520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 12520800 is about 3538.4742474688. The cubic root of 12520800 is about 232.2080970765.

The spelling of 12520800 in words is "twelve million, five hundred twenty thousand, eight hundred".