120870317568 has 640 divisors, whose sum is σ = 436452065280. Its totient is φ = 28705259520.

The previous prime is 120870317551. The next prime is 120870317627. The reversal of 120870317568 is 865713078021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195266763 + ... + 195267381.

It is an arithmetic number, because the mean of its divisors is an integer number (681956352).

Almost surely, 2^120870317568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120870317568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218226032640).

120870317568 is an abundant number, since it is smaller than the sum of its proper divisors (315581747712).

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

120870317568 is a wasteful number, since it uses less digits than its factorization.

120870317568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 120870317568 in words is "one hundred twenty billion, eight hundred seventy million, three hundred seventeen thousand, five hundred sixty-eight".