12909960 has 192 divisors, whose sum is σ = 49420800. Its totient is φ = 2861568.

The previous prime is 12909937. The next prime is 12909961. The reversal of 12909960 is 6990921.

12909960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12909961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118386 + ... + 118494.

It is an arithmetic number, because the mean of its divisors is an integer number (257400).

Almost surely, 2^12909960 is an apocalyptic number.

12909960 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 12909960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24710400).

12909960 is an abundant number, since it is smaller than the sum of its proper divisors (36510840).

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

12909960 is a wasteful number, since it uses less digits than its factorization.

12909960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 12909960 is about 3593.0432783366. The cubic root of 12909960 is about 234.5893537641.

The spelling of 12909960 in words is "twelve million, nine hundred nine thousand, nine hundred sixty".