12075180 has 96 divisors (see below), whose sum is σ = 37001664. Its totient is φ = 2924544.

The previous prime is 12075179. The next prime is 12075181. The reversal of 12075180 is 8157021.

It is an interprime number because it is at equal distance from previous prime (12075179) and next prime (12075181).

It is a self number, because there is not a number n which added to its sum of digits gives 12075180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12075181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88072 + ... + 88208.

It is an arithmetic number, because the mean of its divisors is an integer number (385434).

Almost surely, 2^12075180 is an apocalyptic number.

12075180 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 12075180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18500832).

12075180 is an abundant number, since it is smaller than the sum of its proper divisors (24926484).

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

12075180 is a wasteful number, since it uses less digits than its factorization.

12075180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 12075180 is about 3474.9359706331. The cubic root of 12075180 is about 229.4199625024.

The spelling of 12075180 in words is "twelve million, seventy-five thousand, one hundred eighty".