120791567040 has 112 divisors (see below), whose sum is σ = 384014289120. Its totient is φ = 32169000960.

The previous prime is 120791567033. The next prime is 120791567041. The reversal of 120791567040 is 40765197021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120791566983 and 120791567001.

It is not an unprimeable number, because it can be changed into a prime (120791567041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 656430 + ... + 820050.

It is an arithmetic number, because the mean of its divisors is an integer number (3428699010).

Almost surely, 2^120791567040 is an apocalyptic number.

120791567040 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 120791567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192007144560).

120791567040 is an abundant number, since it is smaller than the sum of its proper divisors (263222722080).

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

120791567040 is a wasteful number, since it uses less digits than its factorization.

120791567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164410 (or 164400 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 120791567040 in words is "one hundred twenty billion, seven hundred ninety-one million, five hundred sixty-seven thousand, forty".