120327861024 has 576 divisors, whose sum is σ = 439121958912. Its totient is φ = 30457036800.

The previous prime is 120327861019. The next prime is 120327861047. The reversal of 120327861024 is 420168723021.

It is a happy number.

120327861024 is a `hidden beast` number, since 1 + 2 + 0 + 32 + 7 + 8 + 610 + 2 + 4 = 666.

It is a super-2 number, since 2×120327861024² (a number of 23 digits) contains 22 as substring.

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 120327861024.

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 95 ways as a sum of consecutive naturals, for example, 39308454 + ... + 39311514.

It is an arithmetic number, because the mean of its divisors is an integer number (762364512).

Almost surely, 2^120327861024 is an apocalyptic number.

120327861024 is a gapful number since it is divisible by the number (14) 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 120327861024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219560979456).

120327861024 is an abundant number, since it is smaller than the sum of its proper divisors (318794097888).

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

120327861024 is a wasteful number, since it uses less digits than its factorization.

120327861024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 120327861024 in words is "one hundred twenty billion, three hundred twenty-seven million, eight hundred sixty-one thousand, twenty-four".