12504960 has 192 divisors, whose sum is σ = 46781280. Its totient is φ = 3059712.

The previous prime is 12504953. The next prime is 12504977. The reversal of 12504960 is 6940521.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 74797 + ... + 74963.

It is a vampire number, since it can be written as 2496 ⋅ 5010 (with its own digits).

Almost surely, 2^12504960 is an apocalyptic number.

12504960 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 12504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390640).

12504960 is an abundant number, since it is smaller than the sum of its proper divisors (34276320).

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

12504960 is a wasteful number, since it uses less digits than its factorization.

12504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12504960 is about 3536.2352862896. The cubic root of 12504960 is about 232.1101339956.

The spelling of 12504960 in words is "twelve million, five hundred four thousand, nine hundred sixty".