12944820992 has 144 divisors (see below), whose sum is σ = 28556478720. Its totient is φ = 5829120000.

The previous prime is 12944820983. The next prime is 12944821013. The reversal of 12944820992 is 29902844921.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12944820992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28079642 + ... + 28080102.

It is an arithmetic number, because the mean of its divisors is an integer number (198308880).

Almost surely, 2^12944820992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12944820992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14278239360).

12944820992 is an abundant number, since it is smaller than the sum of its proper divisors (15611657728).

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

12944820992 is a wasteful number, since it uses less digits than its factorization.

12944820992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The spelling of 12944820992 in words is "twelve billion, nine hundred forty-four million, eight hundred twenty thousand, nine hundred ninety-two".