12898800 has 90 divisors (see below), whose sum is σ = 44774912. Its totient is φ = 3438720.

The previous prime is 12898799. The next prime is 12898817. The reversal of 12898800 is 889821.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1809 + ... + 5391.

Almost surely, 2^12898800 is an apocalyptic number.

12898800 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 12898800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22387456).

12898800 is an abundant number, since it is smaller than the sum of its proper divisors (31876112).

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

12898800 is a wasteful number, since it uses less digits than its factorization.

12898800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 12898800 is about 3591.4899415145. The cubic root of 12898800 is about 234.5217374448.

The spelling of 12898800 in words is "twelve million, eight hundred ninety-eight thousand, eight hundred".