12404800 has 42 divisors (see below), whose sum is σ = 30527498. Its totient is φ = 4961280.

The previous prime is 12404771. The next prime is 12404803. The reversal of 12404800 is 840421.

It can be written as a sum of positive squares in 3 ways, for example, as 4064256 + 8340544 = 2016^2 + 2888^2 .

It is not an unprimeable number, because it can be changed into a prime (12404803) 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, 2277 + ... + 5476.

Almost surely, 2^12404800 is an apocalyptic number.

12404800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12404800 is an abundant number, since it is smaller than the sum of its proper divisors (18122698).

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

12404800 is an equidigital number, since it uses as much as digits as its factorization.

12404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7775 (or 7760 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 12404800 is about 3522.0448605888. The cubic root of 12404800 is about 231.4887672650.

The spelling of 12404800 in words is "twelve million, four hundred four thousand, eight hundred".