12959280 has 120 divisors (see below), whose sum is σ = 44684640. Its totient is φ = 3363840.

The previous prime is 12959279. The next prime is 12959299. The reversal of 12959280 is 8295921.

12959280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 29301 + ... + 29739.

It is an arithmetic number, because the mean of its divisors is an integer number (372372).

Almost surely, 2^12959280 is an apocalyptic number.

12959280 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 12959280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22342320).

12959280 is an abundant number, since it is smaller than the sum of its proper divisors (31725360).

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

12959280 is a wasteful number, since it uses less digits than its factorization.

12959280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 12959280 is about 3599.8999986111. The cubic root of 12959280 is about 234.8877085366.

The spelling of 12959280 in words is "twelve million, nine hundred fifty-nine thousand, two hundred eighty".