12944977920 has 624 divisors, whose sum is σ = 52338524160. Its totient is φ = 2898395136.

The previous prime is 12944977909. The next prime is 12944977937. The reversal of 12944977920 is 2977944921.

12944977920 is a `hidden beast` number, since 129 + 4 + 497 + 7 + 9 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101928897 + ... + 101929023.

It is an arithmetic number, because the mean of its divisors is an integer number (83875840).

Almost surely, 2^12944977920 is an apocalyptic number.

12944977920 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 12944977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26169262080).

12944977920 is an abundant number, since it is smaller than the sum of its proper divisors (39393546240).

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

12944977920 is a wasteful number, since it uses less digits than its factorization.

12944977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 12944977920 in words is "twelve billion, nine hundred forty-four million, nine hundred seventy-seven thousand, nine hundred twenty".