12164004 has 36 divisors (see below), whose sum is σ = 31187520. Its totient is φ = 3996720.

The previous prime is 12163999. The next prime is 12164017. The reversal of 12164004 is 40046121.

12164004 is a `hidden beast` number, since 1 + 21 + 640 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177 + ... + 4935.

It is an arithmetic number, because the mean of its divisors is an integer number (866320).

Almost surely, 2^12164004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12164004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15593760).

12164004 is an abundant number, since it is smaller than the sum of its proper divisors (19023516).

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

12164004 is a wasteful number, since it uses less digits than its factorization.

12164004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 4835 counting only the distinct ones).

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

The square root of 12164004 is about 3487.6932204539. The cubic root of 12164004 is about 229.9811200634.

The spelling of 12164004 in words is "twelve million, one hundred sixty-four thousand, four".