120742758960 has 160 divisors (see below), whose sum is σ = 382073760000. Its totient is φ = 31533677568.

The previous prime is 120742758947. The next prime is 120742758971. The reversal of 120742758960 is 69857247021.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3793191 + ... + 3824889.

It is an arithmetic number, because the mean of its divisors is an integer number (2387961000).

Almost surely, 2^120742758960 is an apocalyptic number.

120742758960 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 120742758960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191036880000).

120742758960 is an abundant number, since it is smaller than the sum of its proper divisors (261331001040).

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

120742758960 is a wasteful number, since it uses less digits than its factorization.

120742758960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32043 (or 32037 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 120742758960 in words is "one hundred twenty billion, seven hundred forty-two million, seven hundred fifty-eight thousand, nine hundred sixty".