12959424 has 84 divisors (see below), whose sum is σ = 37642800. Its totient is φ = 4262400.

The previous prime is 12959413. The next prime is 12959431. The reversal of 12959424 is 42495921.

12959424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12959424³ (a number of 22 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 85749 + ... + 85899.

Almost surely, 2^12959424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12959424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18821400).

12959424 is an abundant number, since it is smaller than the sum of its proper divisors (24683376).

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

12959424 is a wasteful number, since it uses less digits than its factorization.

12959424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 305 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12959424 is about 3599.9199991111. The cubic root of 12959424 is about 234.8885785362. Note that the first 3 decimals are identical.

The spelling of 12959424 in words is "twelve million, nine hundred fifty-nine thousand, four hundred twenty-four".