12888960 has 192 divisors, whose sum is σ = 48139920. Its totient is φ = 2924544.

The previous prime is 12888943. The next prime is 12888971. The reversal of 12888960 is 6988821.

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

It is a super-2 number, since 2×12888960² = 332250579763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94012 + ... + 94148.

Almost surely, 2^12888960 is an apocalyptic number.

12888960 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 12888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24069960).

12888960 is an abundant number, since it is smaller than the sum of its proper divisors (35250960).

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

12888960 is a wasteful number, since it uses less digits than its factorization.

12888960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 12888960 is about 3590.1197751607. The cubic root of 12888960 is about 234.4620863930.

The spelling of 12888960 in words is "twelve million, eight hundred eighty-eight thousand, nine hundred sixty".