12980416 has 28 divisors (see below), whose sum is σ = 25977088. Its totient is φ = 6435072.

The previous prime is 12980399. The next prime is 12980431. The reversal of 12980416 is 61408921.

It is a happy number.

12980416 is an admirable number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7330 + ... + 8926.

Almost surely, 2^12980416 is an apocalyptic number.

12980416 is a gapful number since it is divisible by the number (16) 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 12980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12988544).

12980416 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

12980416 is a wasteful number, since it uses less digits than its factorization.

12980416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 12980416 is about 3602.8344397155. The cubic root of 12980416 is about 235.0153362558.

The spelling of 12980416 in words is "twelve million, nine hundred eighty thousand, four hundred sixteen".