12995973120000 has 1280 divisors, whose sum is σ = 47671283056320. Its totient is φ = 3128426496000.

The previous prime is 12995973119977. The next prime is 12995973120007. The reversal of 12995973120000 is 2137959921.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12995973120007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42332159847 + ... + 42332160153.

Almost surely, 2^{12995973120000} is an apocalyptic number.

12995973120000 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 12995973120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23835641528160).

12995973120000 is an abundant number, since it is smaller than the sum of its proper divisors (34675309936320).

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

12995973120000 is an frugal number, since it uses more digits than its factorization.

12995973120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 48.

The spelling of 12995973120000 in words is "twelve trillion, nine hundred ninety-five billion, nine hundred seventy-three million, one hundred twenty thousand".