12188160 has 180 divisors, whose sum is σ = 44126082. Its totient is φ = 3108864.

The previous prime is 12188159. The next prime is 12188173. The reversal of 12188160 is 6188121.

It can be written as a sum of positive squares in only one way, i.e., 10969344 + 1218816 = 3312^2 + 1104^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 17 ways as a sum of consecutive naturals, for example, 529909 + ... + 529931.

Almost surely, 2^12188160 is an apocalyptic number.

12188160 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 12188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22063041).

12188160 is an abundant number, since it is smaller than the sum of its proper divisors (31937922).

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

12188160 is an equidigital number, since it uses as much as digits as its factorization.

12188160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 12188160 is about 3491.1545368259. The cubic root of 12188160 is about 230.1332561132.

The spelling of 12188160 in words is "twelve million, one hundred eighty-eight thousand, one hundred sixty".