12504120 has 64 divisors (see below), whose sum is σ = 38016000. Its totient is φ = 3289728.

The previous prime is 12504119. The next prime is 12504161. The reversal of 12504120 is 2140521.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12504120.

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 15 ways as a sum of consecutive naturals, for example, 8821 + ... + 10139.

It is an arithmetic number, because the mean of its divisors is an integer number (594000).

Almost surely, 2^12504120 is an apocalyptic number.

12504120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12504120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19008000).

12504120 is an abundant number, since it is smaller than the sum of its proper divisors (25511880).

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

12504120 is a wasteful number, since it uses less digits than its factorization.

12504120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 12504120 is about 3536.1165139175. The cubic root of 12504120 is about 232.1049366745.

Adding to 12504120 its reverse (2140521), we get a palindrome (14644641).

The spelling of 12504120 in words is "twelve million, five hundred four thousand, one hundred twenty".