120386793024 has 315 divisors, whose sum is σ = 367460974881. Its totient is φ = 38971445760.

The previous prime is 120386793017. The next prime is 120386793061. The reversal of 120386793024 is 420397683021.

The square root of 120386793024 is 346968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3914754624 + 116472038400 = 62568^2 + 341280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1523883417 + ... + 1523883495.

Almost surely, 2^120386793024 is an apocalyptic number.

120386793024 is the 346968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120386793024

120386793024 is an abundant number, since it is smaller than the sum of its proper divisors (247074181857).

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

120386793024 is an frugal number, since it uses more digits than its factorization.

120386793024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 120386793024 in words is "one hundred twenty billion, three hundred eighty-six million, seven hundred ninety-three thousand, twenty-four".