12960000000000 has 825 divisors, whose sum is σ = 48398521958017. Its totient is φ = 3456000000000.

The previous prime is 12959999999977. The next prime is 12960000000049. The reversal of 12960000000000 is 6921.

The square root of 12960000000000 is 3600000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 5 ways, for example, as 74542104576 + 12885457895424 = 273024^2 + 3589632^2 .

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

It is a Duffinian number.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 30000 × 18000 × 24000.

It is an unprimeable number.

It is a polite number, since it can be written in 54 ways as a sum of consecutive naturals, for example, 2591999999998 + ... + 2592000000002.

Almost surely, 2^{12960000000000} is an apocalyptic number.

12960000000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12960000000000 is the 3600000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12960000000000

12960000000000 is an abundant number, since it is smaller than the sum of its proper divisors (35438521958017).

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

12960000000000 is an frugal number, since it uses more digits than its factorization.

12960000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 10 counting only the distinct ones).

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

Adding to 12960000000000 its reverse (6921), we get a palindrome (12960000006921).

The spelling of 12960000000000 in words is "twelve trillion, nine hundred sixty billion", and thus it is an aban number.