12996884160 has 1008 divisors, whose sum is σ = 53600811264. Its totient is φ = 2988969984.

The previous prime is 12996884111. The next prime is 12996884161. The reversal of 12996884160 is 6148869921.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12996884097 and 12996884106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12996884161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 302253099 + ... + 302253141.

It is an arithmetic number, because the mean of its divisors is an integer number (53175408).

Almost surely, 2^12996884160 is an apocalyptic number.

12996884160 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 12996884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26800405632).

12996884160 is an abundant number, since it is smaller than the sum of its proper divisors (40603927104).

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

12996884160 is a wasteful number, since it uses less digits than its factorization.

12996884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 12996884160 in words is "twelve billion, nine hundred ninety-six million, eight hundred eighty-four thousand, one hundred sixty".