12960395280000 has 2240 divisors, whose sum is σ = 56421726768000. Its totient is φ = 2901629952000.

The previous prime is 12960395279977. The next prime is 12960395280013. The reversal of 12960395280000 is 8259306921.

12960395280000 is a `hidden beast` number, since 1 + 2 + 96 + 0 + 39 + 528 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-4 number, since 4×12960395280000⁴ (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 21636719701 + ... + 21636720299.

Almost surely, 2^{12960395280000} is an apocalyptic number.

12960395280000 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 12960395280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28210863384000).

12960395280000 is an abundant number, since it is smaller than the sum of its proper divisors (43461331488000).

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

12960395280000 is an frugal number, since it uses more digits than its factorization.

12960395280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 12960395280000 in words is "twelve trillion, nine hundred sixty billion, three hundred ninety-five million, two hundred eighty thousand".