12960000000 has 480 divisors, whose sum is σ = 48388059720. Its totient is φ = 3456000000.

The previous prime is 12959999989. The next prime is 12960000013. The reversal of 12960000000 is 6921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 7817389056 + 5142610944 = 88416^2 + 71712^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 3000 × 1800 × 2400.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2591999998 + ... + 2592000002.

Almost surely, 2^12960000000 is an apocalyptic number.

12960000000 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 12960000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24194029860).

12960000000 is an abundant number, since it is smaller than the sum of its proper divisors (35428059720).

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

12960000000 is an frugal number, since it uses more digits than its factorization.

12960000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12960000000 its reverse (6921), we get a palindrome (12960006921).

The spelling of 12960000000 in words is "twelve billion, nine hundred sixty million", and thus it is an aban number.