12264400 has 30 divisors (see below), whose sum is σ = 29466182. Its totient is φ = 4905600.

The previous prime is 12264397. The next prime is 12264403. The reversal of 12264400 is 446221.

12264400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12264397) and next prime (12264403).

It can be written as a sum of positive squares in 3 ways, for example, as 4016016 + 8248384 = 2004^2 + 2872^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12264403) 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, 14931 + ... + 15730.

Almost surely, 2^12264400 is an apocalyptic number.

12264400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12264400 is an abundant number, since it is smaller than the sum of its proper divisors (17201782).

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

12264400 is a wasteful number, since it uses less digits than its factorization.

12264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30679 (or 30668 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 12264400 is about 3502.0565386641. The cubic root of 12264400 is about 230.6121061477.

The spelling of 12264400 in words is "twelve million, two hundred sixty-four thousand, four hundred".