12916020960 has 144 divisors (see below), whose sum is σ = 44112073824. Its totient is φ = 3441447936.

The previous prime is 12916020937. The next prime is 12916020961. The reversal of 12916020960 is 6902061921.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12916020961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2219014 + ... + 2224826.

It is an arithmetic number, because the mean of its divisors is an integer number (306333846).

Almost surely, 2^12916020960 is an apocalyptic number.

12916020960 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 12916020960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22056036912).

12916020960 is an abundant number, since it is smaller than the sum of its proper divisors (31196052864).

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

12916020960 is a wasteful number, since it uses less digits than its factorization.

12916020960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7377 (or 7366 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 12916020960 in words is "twelve billion, nine hundred sixteen million, twenty thousand, nine hundred sixty".