12444800 has 48 divisors (see below), whose sum is σ = 30750450. Its totient is φ = 4976640.

The previous prime is 12444787. The next prime is 12444823. The reversal of 12444800 is 844421.

It can be written as a sum of positive squares in 3 ways, for example, as 10394176 + 2050624 = 3224^2 + 1432^2 .

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 5 ways as a sum of consecutive naturals, for example, 1256 + ... + 5144.

Almost surely, 2^12444800 is an apocalyptic number.

12444800 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 12444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15375225).

12444800 is an abundant number, since it is smaller than the sum of its proper divisors (18305650).

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

12444800 is an equidigital number, since it uses as much as digits as its factorization.

12444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3913 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 12444800 is about 3527.7188096559. The cubic root of 12444800 is about 231.7373166391.

The spelling of 12444800 in words is "twelve million, four hundred forty-four thousand, eight hundred".