12179664 has 120 divisors (see below), whose sum is σ = 40003392. Its totient is φ = 3386880.

The previous prime is 12179617. The next prime is 12179677. The reversal of 12179664 is 46697121.

12179664 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 Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (18144) is a multiple of the sum of its prime divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43204 + ... + 43484.

Almost surely, 2^12179664 is an apocalyptic number.

12179664 is a gapful number since it is divisible by the number (14) 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 12179664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20001696).

12179664 is an abundant number, since it is smaller than the sum of its proper divisors (27823728).

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

12179664 is a wasteful number, since it uses less digits than its factorization.

12179664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 336 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 12179664 is about 3489.9375352576. The cubic root of 12179664 is about 230.0797706917.

The spelling of 12179664 in words is "twelve million, one hundred seventy-nine thousand, six hundred sixty-four".