12364400 has 30 divisors (see below), whose sum is σ = 29706432. Its totient is φ = 4945600.

The previous prime is 12364399. The next prime is 12364403. The reversal of 12364400 is 446321.

It is a happy number.

12364400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (12364403) 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, 15056 + ... + 15855.

Almost surely, 2^12364400 is an apocalyptic number.

12364400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12364400 is an abundant number, since it is smaller than the sum of its proper divisors (17342032).

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

12364400 is a wasteful number, since it uses less digits than its factorization.

12364400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30929 (or 30918 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 12364400 is about 3516.3048787043. The cubic root of 12364400 is about 231.2371894535.

The spelling of 12364400 in words is "twelve million, three hundred sixty-four thousand, four hundred".