12972377880 has 512 divisors, whose sum is σ = 55074816000. Its totient is φ = 2637411840.

The previous prime is 12972377861. The next prime is 12972377881. The reversal of 12972377880 is 8877327921.

12972377880 is a `hidden beast` number, since 129 + 72 + 377 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12972377881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3906861 + ... + 3910179.

It is an arithmetic number, because the mean of its divisors is an integer number (107568000).

Almost surely, 2^12972377880 is an apocalyptic number.

12972377880 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 12972377880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27537408000).

12972377880 is an abundant number, since it is smaller than the sum of its proper divisors (42102438120).

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

12972377880 is a wasteful number, since it uses less digits than its factorization.

12972377880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 12972377880 in words is "twelve billion, nine hundred seventy-two million, three hundred seventy-seven thousand, eight hundred eighty".