12977982600 has 384 divisors, whose sum is σ = 45734215680. Its totient is φ = 3015936000.

The previous prime is 12977982533. The next prime is 12977982629. The reversal of 12977982600 is 628977921.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28029969 + ... + 28030431.

It is an arithmetic number, because the mean of its divisors is an integer number (119099520).

Almost surely, 2^12977982600 is an apocalyptic number.

12977982600 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 12977982600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22867107840).

12977982600 is an abundant number, since it is smaller than the sum of its proper divisors (32756233080).

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

12977982600 is a wasteful number, since it uses less digits than its factorization.

12977982600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

It can be divided in two parts, 1297 and 7982600, that added together give a palindrome (7983897).

The spelling of 12977982600 in words is "twelve billion, nine hundred seventy-seven million, nine hundred eighty-two thousand, six hundred".