12132180 has 60 divisors (see below), whose sum is σ = 38064180. Its totient is φ = 3234816.

The previous prime is 12132151. The next prime is 12132217. The reversal of 12132180 is 8123121.

It can be written as a sum of positive squares in 2 ways, for example, as 5225796 + 6906384 = 2286^2 + 2628^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 19 ways as a sum of consecutive naturals, for example, 2125 + ... + 5364.

It is an arithmetic number, because the mean of its divisors is an integer number (634403).

Almost surely, 2^12132180 is an apocalyptic number.

12132180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132180 is an abundant number, since it is smaller than the sum of its proper divisors (25932000).

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

12132180 is a wasteful number, since it uses less digits than its factorization.

12132180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7510 (or 7499 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 12132180 is about 3483.1279046283. The cubic root of 12132180 is about 229.7803826759.

The spelling of 12132180 in words is "twelve million, one hundred thirty-two thousand, one hundred eighty".