12790870400000 has 2112 divisors, whose sum is σ = 43401810106368. Its totient is φ = 3649536000000.

The previous prime is 12790870399969. The next prime is 12790870400017. The reversal of 12790870400000 is 407809721.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 209686399970 + ... + 209686400030.

Almost surely, 2^{12790870400000} is an apocalyptic number.

12790870400000 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 12790870400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21700905053184).

12790870400000 is an abundant number, since it is smaller than the sum of its proper divisors (30610939706368).

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

12790870400000 is an equidigital number, since it uses as much as digits as its factorization.

12790870400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The spelling of 12790870400000 in words is "twelve trillion, seven hundred ninety billion, eight hundred seventy million, four hundred thousand".