12412928 has 96 divisors (see below), whose sum is σ = 29484000. Its totient is φ = 5160960.

The previous prime is 12412921. The next prime is 12412949. The reversal of 12412928 is 82921421.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 12412928.

It is not an unprimeable number, because it can be changed into a prime (12412921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 428018 + ... + 428046.

It is an arithmetic number, because the mean of its divisors is an integer number (307125).

Almost surely, 2^12412928 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 12412928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742000).

12412928 is an abundant number, since it is smaller than the sum of its proper divisors (17071072).

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

12412928 is a wasteful number, since it uses less digits than its factorization.

12412928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 61 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 12412928 is about 3523.1985467754. The cubic root of 12412928 is about 231.5393157060.

The spelling of 12412928 in words is "twelve million, four hundred twelve thousand, nine hundred twenty-eight".