12889800 has 384 divisors, whose sum is σ = 57139200. Its totient is φ = 2592000.

The previous prime is 12889787. The next prime is 12889819. The reversal of 12889800 is 898821.

It is a super-2 number, since 2×12889800² = 332293888080000, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 415785 + ... + 415815.

It is an arithmetic number, because the mean of its divisors is an integer number (148800).

Almost surely, 2^12889800 is an apocalyptic number.

12889800 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 12889800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28569600).

12889800 is an abundant number, since it is smaller than the sum of its proper divisors (44249400).

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

12889800 is a wasteful number, since it uses less digits than its factorization.

12889800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 59 counting only the distinct ones).

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

The square root of 12889800 is about 3590.2367609950. The cubic root of 12889800 is about 234.4671797409.

It can be divided in two parts, 12889 and 800, that added together give a square (13689 = 117²).

The spelling of 12889800 in words is "twelve million, eight hundred eighty-nine thousand, eight hundred".