12797135712000 has 432 divisors, whose sum is σ = 46076367748320. Its totient is φ = 3410454528000.

The previous prime is 12797135711981. The next prime is 12797135712019. The reversal of 12797135712000 is 21753179721.

12797135712000 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 71 + 3 + 571 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12797135711981) and next prime (12797135712019).

It is a super-3 number, since 3×12797135712000³ (a number of 40 digits) contains 333 as substring.

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

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, 495635091 + ... + 495660909.

Almost surely, 2^{12797135712000} is an apocalyptic number.

12797135712000 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 12797135712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23038183874160).

12797135712000 is an abundant number, since it is smaller than the sum of its proper divisors (33279232036320).

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

12797135712000 is a wasteful number, since it uses less digits than its factorization.

12797135712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27577 (or 27550 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

The spelling of 12797135712000 in words is "twelve trillion, seven hundred ninety-seven billion, one hundred thirty-five million, seven hundred twelve thousand".