120242615844864 has 256 divisors, whose sum is σ = 324868214592000. Its totient is φ = 39553125580800.

The previous prime is 120242615844839. The next prime is 120242615844877. The reversal of 120242615844864 is 468448516242021.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25853064939 + ... + 25853069589.

It is an arithmetic number, because the mean of its divisors is an integer number (1269016463250).

Almost surely, 2^{120242615844864} 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 120242615844864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162434107296000).

120242615844864 is an abundant number, since it is smaller than the sum of its proper divisors (204625598747136).

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

120242615844864 is an frugal number, since it uses more digits than its factorization.

120242615844864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8092 (or 8064 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 57.

The spelling of 120242615844864 in words is "one hundred twenty trillion, two hundred forty-two billion, six hundred fifteen million, eight hundred forty-four thousand, eight hundred sixty-four".