12992335200 has 864 divisors, whose sum is σ = 52668566496. Its totient is φ = 3105423360.

The previous prime is 12992335199. The next prime is 12992335219. The reversal of 12992335200 is 253329921.

12992335200 is a `hidden beast` number, since 12 + 9 + 92 + 33 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133941552 + ... + 133941648.

It is an arithmetic number, because the mean of its divisors is an integer number (60958989).

Almost surely, 2^12992335200 is an apocalyptic number.

12992335200 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 12992335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26334283248).

12992335200 is an abundant number, since it is smaller than the sum of its proper divisors (39676231296).

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

12992335200 is a wasteful number, since it uses less digits than its factorization.

12992335200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 12992335200 in words is "twelve billion, nine hundred ninety-two million, three hundred thirty-five thousand, two hundred".