1317029112000 has 1792 divisors, whose sum is σ = 5784368578560. Its totient is φ = 287110656000.

The previous prime is 1317029111989. The next prime is 1317029112017. The reversal of 1317029112000 is 2119207131.

1317029112000 is a `hidden beast` number, since 1 + 3 + 170 + 291 + 1 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3055751785 + ... + 3055752215.

Almost surely, 2^{1317029112000} is an apocalyptic number.

1317029112000 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 1317029112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892184289280).

1317029112000 is an abundant number, since it is smaller than the sum of its proper divisors (4467339466560).

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

1317029112000 is a wasteful number, since it uses less digits than its factorization.

1317029112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 1317029112000 in words is "one trillion, three hundred seventeen billion, twenty-nine million, one hundred twelve thousand".