120257733024 has 768 divisors, whose sum is σ = 435281817600. Its totient is φ = 31781376000.

The previous prime is 120257732957. The next prime is 120257733061. The reversal of 120257733024 is 420337752021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 120257733024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 287011087 + ... + 287011505.

It is an arithmetic number, because the mean of its divisors is an integer number (566773200).

Almost surely, 2^120257733024 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 120257733024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217640908800).

120257733024 is an abundant number, since it is smaller than the sum of its proper divisors (315024084576).

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

120257733024 is a wasteful number, since it uses less digits than its factorization.

120257733024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 120257733024 in words is "one hundred twenty billion, two hundred fifty-seven million, seven hundred thirty-three thousand, twenty-four".