12164400 has 180 divisors, whose sum is σ = 43975360. Its totient is φ = 3110400.

The previous prime is 12164387. The next prime is 12164423. The reversal of 12164400 is 446121.

12164400 is a `hidden beast` number, since 1 + 21 + 644 + 0 + 0 = 666.

12164400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111546 + ... + 111654.

Almost surely, 2^12164400 is an apocalyptic number.

12164400 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 12164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21987680).

12164400 is an abundant number, since it is smaller than the sum of its proper divisors (31810960).

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

12164400 is a wasteful number, since it uses less digits than its factorization.

12164400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12164400 is about 3487.7499910401. The cubic root of 12164400 is about 229.9836157201.

The spelling of 12164400 in words is "twelve million, one hundred sixty-four thousand, four hundred".