12488160 has 48 divisors (see below), whose sum is σ = 39339216. Its totient is φ = 3330048.

The previous prime is 12488159. The next prime is 12488171. The reversal of 12488160 is 6188421.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 7 ways as a sum of consecutive naturals, for example, 12529 + ... + 13488.

It is an arithmetic number, because the mean of its divisors is an integer number (819567).

Almost surely, 2^12488160 is an apocalyptic number.

12488160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12488160 is an abundant number, since it is smaller than the sum of its proper divisors (26851056).

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

12488160 is a wasteful number, since it uses less digits than its factorization.

12488160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26035 (or 26027 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 12488160 is about 3533.8590803822. The cubic root of 12488160 is about 232.0061433173.

The spelling of 12488160 in words is "twelve million, four hundred eighty-eight thousand, one hundred sixty".