12492800 has 84 divisors (see below), whose sum is σ = 31488126. Its totient is φ = 4915200.

The previous prime is 12492793. The next prime is 12492803. The reversal of 12492800 is 829421.

It can be written as a sum of positive squares in 3 ways, for example, as 5607424 + 6885376 = 2368^2 + 2624^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12492800.

It is not an unprimeable number, because it can be changed into a prime (12492803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204770 + ... + 204830.

Almost surely, 2^12492800 is an apocalyptic number.

12492800 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 12492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15744063).

12492800 is an abundant number, since it is smaller than the sum of its proper divisors (18995326).

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

12492800 is an frugal number, since it uses more digits than its factorization.

12492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 12492800 is about 3534.5155254999. The cubic root of 12492800 is about 232.0348738697.

The spelling of 12492800 in words is "twelve million, four hundred ninety-two thousand, eight hundred".