12820612960 has 96 divisors (see below), whose sum is σ = 31662489600. Its totient is φ = 4899847680.

The previous prime is 12820612949. The next prime is 12820612999. The reversal of 12820612960 is 6921602821.

It is a super-3 number, since 3×12820612960³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375481 + ... + 408199.

It is an arithmetic number, because the mean of its divisors is an integer number (329817600).

Almost surely, 2^12820612960 is an apocalyptic number.

12820612960 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 12820612960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15831244800).

12820612960 is an abundant number, since it is smaller than the sum of its proper divisors (18841876640).

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

12820612960 is a wasteful number, since it uses less digits than its factorization.

12820612960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32844 (or 32836 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 12820612960 in words is "twelve billion, eight hundred twenty million, six hundred twelve thousand, nine hundred sixty".