12168864 has 144 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 3709440.

The previous prime is 12168851. The next prime is 12168883. The reversal of 12168864 is 46886121.

12168864 is digitally balanced in base 2, because in such base 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 (144).

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.

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, 258889 + ... + 258935.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^12168864 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 12168864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

12168864 is an abundant number, since it is smaller than the sum of its proper divisors (25570656).

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

12168864 is a wasteful number, since it uses less digits than its factorization.

12168864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 12168864 is about 3488.3898864662. The cubic root of 12168864 is about 230.0117448319.

The spelling of 12168864 in words is "twelve million, one hundred sixty-eight thousand, eight hundred sixty-four".