12004560 has 60 divisors (see below), whose sum is σ = 40317732. Its totient is φ = 3201024.

The previous prime is 12004549. The next prime is 12004607. The reversal of 12004560 is 6540021.

It is a happy number.

12004560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8225424 + 3779136 = 2868^2 + 1944^2 .

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7617 + ... + 9056.

Almost surely, 2^12004560 is an apocalyptic number.

12004560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12004560 is an abundant number, since it is smaller than the sum of its proper divisors (28313172).

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

12004560 is a wasteful number, since it uses less digits than its factorization.

12004560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16692 (or 16683 counting only the distinct ones).

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

The square root of 12004560 is about 3464.7597319295. The cubic root of 12004560 is about 228.9718442657.

Adding to 12004560 its reverse (6540021), we get a palindrome (18544581).

The spelling of 12004560 in words is "twelve million, four thousand, five hundred sixty".