120439754820 has 1152 divisors, whose sum is σ = 510567805440. Its totient is φ = 23224320000.

The previous prime is 120439754791. The next prime is 120439754857. The reversal of 120439754820 is 28457934021.

120439754820 is a `hidden beast` number, since 1 + 204 + 397 + 54 + 8 + 2 + 0 = 666.

It is a super-2 number, since 2×120439754820² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 499749900 + ... + 499750140.

It is an arithmetic number, because the mean of its divisors is an integer number (443201220).

Almost surely, 2^120439754820 is an apocalyptic number.

120439754820 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 120439754820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255283902720).

120439754820 is an abundant number, since it is smaller than the sum of its proper divisors (390128050620).

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

120439754820 is a wasteful number, since it uses less digits than its factorization.

120439754820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 120439754820 in words is "one hundred twenty billion, four hundred thirty-nine million, seven hundred fifty-four thousand, eight hundred twenty".