12185160 has 128 divisors (see below), whose sum is σ = 40279680. Its totient is φ = 2930688.

The previous prime is 12185123. The next prime is 12185171. The reversal of 12185160 is 6158121.

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 12185160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113827 + ... + 113933.

It is an arithmetic number, because the mean of its divisors is an integer number (314685).

Almost surely, 2^12185160 is an apocalyptic number.

12185160 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 12185160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20139840).

12185160 is an abundant number, since it is smaller than the sum of its proper divisors (28094520).

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

12185160 is a wasteful number, since it uses less digits than its factorization.

12185160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 12185160 is about 3490.7248530928. The cubic root of 12185160 is about 230.1143728577.

The spelling of 12185160 in words is "twelve million, one hundred eighty-five thousand, one hundred sixty".