12165360 has 80 divisors (see below), whose sum is σ = 38060064. Its totient is φ = 3214336.

The previous prime is 12165359. The next prime is 12165379. The reversal of 12165360 is 6356121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12165360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41374 + ... + 41666.

Almost surely, 2^12165360 is an apocalyptic number.

12165360 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 12165360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19030032).

12165360 is an abundant number, since it is smaller than the sum of its proper divisors (25894704).

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

12165360 is a wasteful number, since it uses less digits than its factorization.

12165360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 12165360 is about 3487.8876128683. The cubic root of 12165360 is about 229.9896655722.

The spelling of 12165360 in words is "twelve million, one hundred sixty-five thousand, three hundred sixty".