12900800 has 84 divisors (see below), whose sum is σ = 34677096. Its totient is φ = 4684800.

The previous prime is 12900793. The next prime is 12900803. The reversal of 12900800 is 800921.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12900803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17234 + ... + 17966.

Almost surely, 2^12900800 is an apocalyptic number.

12900800 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 12900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17338548).

12900800 is an abundant number, since it is smaller than the sum of its proper divisors (21776296).

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

12900800 is a wasteful number, since it uses less digits than its factorization.

12900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 12900800 is about 3591.7683666963. The cubic root of 12900800 is about 234.5338579324.

The spelling of 12900800 in words is "twelve million, nine hundred thousand, eight hundred".