12180564 has 48 divisors (see below), whose sum is σ = 34453440. Its totient is φ = 3690720.

The previous prime is 12180563. The next prime is 12180569. The reversal of 12180564 is 46508121.

12180564 is a `hidden beast` number, since 1 + 21 + 80 + 564 = 666.

It is a super-2 number, since 2×12180564² = 296732278716192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12180563) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3939 + ... + 6314.

It is an arithmetic number, because the mean of its divisors is an integer number (717780).

Almost surely, 2^12180564 is an apocalyptic number.

It is an amenable number.

12180564 is an abundant number, since it is smaller than the sum of its proper divisors (22272876).

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

12180564 is a wasteful number, since it uses less digits than its factorization.

12180564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10277 (or 10269 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12180564 is about 3490.0664750116. The cubic root of 12180564 is about 230.0854376979.

Adding to 12180564 its reverse (46508121), we get a palindrome (58688685).

The spelling of 12180564 in words is "twelve million, one hundred eighty thousand, five hundred sixty-four".