12930960 has 160 divisors (see below), whose sum is σ = 47139840. Its totient is φ = 2870784.

The previous prime is 12930959. The next prime is 12930979. The reversal of 12930960 is 6903921.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72151 + ... + 72329.

It is an arithmetic number, because the mean of its divisors is an integer number (294624).

Almost surely, 2^12930960 is an apocalyptic number.

12930960 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 12930960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23569920).

12930960 is an abundant number, since it is smaller than the sum of its proper divisors (34208880).

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

12930960 is a wasteful number, since it uses less digits than its factorization.

12930960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 12930960 is about 3595.9644047182. The cubic root of 12930960 is about 234.7164831968.

The spelling of 12930960 in words is "twelve million, nine hundred thirty thousand, nine hundred sixty".