12084160 has 56 divisors (see below), whose sum is σ = 31400496. Its totient is φ = 4392960.

The previous prime is 12084157. The next prime is 12084167. The reversal of 12084160 is 6148021.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12084167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1804 + ... + 5236.

Almost surely, 2^12084160 is an apocalyptic number.

12084160 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 12084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15700248).

12084160 is an abundant number, since it is smaller than the sum of its proper divisors (19316336).

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

12084160 is a wasteful number, since it uses less digits than its factorization.

12084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 12084160 is about 3476.2278406342. The cubic root of 12084160 is about 229.4768196472.

The spelling of 12084160 in words is "twelve million, eighty-four thousand, one hundred sixty".