12930084720 has 480 divisors, whose sum is σ = 51915427200. Its totient is φ = 2881105920.

The previous prime is 12930084707. The next prime is 12930084733. The reversal of 12930084720 is 2748003921.

It is an interprime number because it is at equal distance from previous prime (12930084707) and next prime (12930084733).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10124722 + ... + 10125998.

It is an arithmetic number, because the mean of its divisors is an integer number (108157140).

Almost surely, 2^12930084720 is an apocalyptic number.

12930084720 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 12930084720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25957713600).

12930084720 is an abundant number, since it is smaller than the sum of its proper divisors (38985342480).

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

12930084720 is a wasteful number, since it uses less digits than its factorization.

12930084720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12930084720 in words is "twelve billion, nine hundred thirty million, eighty-four thousand, seven hundred twenty".