12006504 has 48 divisors (see below), whose sum is σ = 32853600. Its totient is φ = 3960864.

The previous prime is 12006473. The next prime is 12006509. The reversal of 12006504 is 40560021.

It is a happy number.

12006504 is a `hidden beast` number, since 12 + 0 + 0 + 650 + 4 = 666.

12006504 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12006504² = 288312276604032, which contains 22 as substring.

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

12006504 is a modest number, since divided by 6504 gives 120 as remainder.

It is not an unprimeable number, because it can be changed into a prime (12006509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6607 + ... + 8225.

It is an arithmetic number, because the mean of its divisors is an integer number (684450).

Almost surely, 2^12006504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12006504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16426800).

12006504 is an abundant number, since it is smaller than the sum of its proper divisors (20847096).

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

12006504 is a wasteful number, since it uses less digits than its factorization.

12006504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1727 counting only the distinct ones).

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

The square root of 12006504 is about 3465.0402595064. The cubic root of 12006504 is about 228.9842033814.

Adding to 12006504 its reverse (40560021), we get a palindrome (52566525).

The spelling of 12006504 in words is "twelve million, six thousand, five hundred four".