120256773120 has 1232 divisors, whose sum is σ = 492937578720. Its totient is φ = 27869184000.

The previous prime is 120256773079. The next prime is 120256773139. The reversal of 120256773120 is 21377652021.

120256773120 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 567 + 73 + 1 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1190661070 + ... + 1190661170.

Almost surely, 2^120256773120 is an apocalyptic number.

120256773120 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 120256773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246468789360).

120256773120 is an abundant number, since it is smaller than the sum of its proper divisors (372680805600).

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

120256773120 is a wasteful number, since it uses less digits than its factorization.

120256773120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 120256773120 in words is "one hundred twenty billion, two hundred fifty-six million, seven hundred seventy-three thousand, one hundred twenty".