12095160 has 288 divisors, whose sum is σ = 49124880. Its totient is φ = 2365440.

The previous prime is 12095159. The next prime is 12095179. The reversal of 12095160 is 6159021.

12095160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 12095160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 711472 + ... + 711488.

Almost surely, 2^12095160 is an apocalyptic number.

12095160 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 12095160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24562440).

12095160 is an abundant number, since it is smaller than the sum of its proper divisors (37029720).

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

12095160 is a wasteful number, since it uses less digits than its factorization.

12095160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 12095160 is about 3477.8096555160. The cubic root of 12095160 is about 229.5464281119.

The spelling of 12095160 in words is "twelve million, ninety-five thousand, one hundred sixty".