12910800 has 240 divisors, whose sum is σ = 49818240. Its totient is φ = 2795520.

The previous prime is 12910757. The next prime is 12910801. The reversal of 12910800 is 801921.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12910801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243574 + ... + 243626.

It is an arithmetic number, because the mean of its divisors is an integer number (207576).

Almost surely, 2^12910800 is an apocalyptic number.

12910800 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 12910800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24909120).

12910800 is an abundant number, since it is smaller than the sum of its proper divisors (36907440).

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

12910800 is a wasteful number, since it uses less digits than its factorization.

12910800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 12910800 is about 3593.1601689877. The cubic root of 12910800 is about 234.5944415873.

Adding to 12910800 its sum of digits (21), we get a triangular number (12910821 = T₅₀₈₁).

The spelling of 12910800 in words is "twelve million, nine hundred ten thousand, eight hundred".