12979599200 has 288 divisors, whose sum is σ = 35187747840. Its totient is φ = 4653158400.

The previous prime is 12979599167. The next prime is 12979599211. The reversal of 12979599200 is 299597921.

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, 47895065 + ... + 47895335.

It is an arithmetic number, because the mean of its divisors is an integer number (122179680).

Almost surely, 2^12979599200 is an apocalyptic number.

12979599200 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 12979599200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17593873920).

12979599200 is an abundant number, since it is smaller than the sum of its proper divisors (22208148640).

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

12979599200 is a wasteful number, since it uses less digits than its factorization.

12979599200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 53.

The spelling of 12979599200 in words is "twelve billion, nine hundred seventy-nine million, five hundred ninety-nine thousand, two hundred".