12000564 has 18 divisors (see below), whose sum is σ = 30334850. Its totient is φ = 4000176.

The previous prime is 12000563. The next prime is 12000581. The reversal of 12000564 is 46500021.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9659664 + 2340900 = 3108^2 + 1530^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000563) 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 5 ways as a sum of consecutive naturals, for example, 166639 + ... + 166710.

Almost surely, 2^12000564 is an apocalyptic number.

It is an amenable number.

12000564 is an abundant number, since it is smaller than the sum of its proper divisors (18334286).

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

12000564 is a wasteful number, since it uses less digits than its factorization.

12000564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333359 (or 333354 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12000564 is about 3464.1830205692. The cubic root of 12000564 is about 228.9464352258.

Adding to 12000564 its reverse (46500021), we get a palindrome (58500585).

The spelling of 12000564 in words is "twelve million, five hundred sixty-four", and thus it is an aban number.