12980496 has 80 divisors (see below), whose sum is σ = 36227840. Its totient is φ = 3991680.

The previous prime is 12980489. The next prime is 12980519. The reversal of 12980496 is 69408921.

12980496 = T₃₀₁ + T₃₀₂ + ... + T₄₇₁.

It is a nialpdrome in base 16.

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 15 ways as a sum of consecutive naturals, for example, 39051 + ... + 39381.

It is an arithmetic number, because the mean of its divisors is an integer number (452848).

Almost surely, 2^12980496 is an apocalyptic number.

12980496 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 12980496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18113920).

12980496 is an abundant number, since it is smaller than the sum of its proper divisors (23247344).

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

12980496 is a wasteful number, since it uses less digits than its factorization.

12980496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 12980496 is about 3602.8455420681. The cubic root of 12980496 is about 235.0158190649.

The spelling of 12980496 in words is "twelve million, nine hundred eighty thousand, four hundred ninety-six".