12900960 has 216 divisors, whose sum is σ = 48275136. Its totient is φ = 3133440.

The previous prime is 12900959. The next prime is 12901001. The reversal of 12900960 is 6900921.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 416145 + ... + 416175.

It is an arithmetic number, because the mean of its divisors is an integer number (223496).

Almost surely, 2^12900960 is an apocalyptic number.

12900960 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 12900960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24137568).

12900960 is an abundant number, since it is smaller than the sum of its proper divisors (35374176).

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

12900960 is a wasteful number, since it uses less digits than its factorization.

12900960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 12900960 is about 3591.7906397784. The cubic root of 12900960 is about 234.5348275173.

The spelling of 12900960 in words is "twelve million, nine hundred thousand, nine hundred sixty".