12791913028200 has 192 divisors, whose sum is σ = 44604998668800. Its totient is φ = 3411176690880.

The previous prime is 12791913028121. The next prime is 12791913028201. The reversal of 12791913028200 is 282031919721.

12791913028200 is a `hidden beast` number, since 12 + 79 + 191 + 302 + 82 + 0 + 0 = 666.

12791913028200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12791913028201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14185272 + ... + 15060071.

It is an arithmetic number, because the mean of its divisors is an integer number (232317701400).

Almost surely, 2^{12791913028200} is an apocalyptic number.

12791913028200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12791913028200 is an abundant number, since it is smaller than the sum of its proper divisors (31813085640600).

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

12791913028200 is an equidigital number, since it uses as much as digits as its factorization.

12791913028200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29245380 (or 29245353 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 12791913028200 in words is "twelve trillion, seven hundred ninety-one billion, nine hundred thirteen million, twenty-eight thousand, two hundred".