120871582020 has 576 divisors, whose sum is σ = 465048864000. Its totient is φ = 25897439232.

The previous prime is 120871581953. The next prime is 120871582033. The reversal of 120871582020 is 20285178021.

120871582020 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 71 + 582 + 0 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 170481426 + ... + 170482134.

It is an arithmetic number, because the mean of its divisors is an integer number (807376500).

Almost surely, 2^120871582020 is an apocalyptic number.

120871582020 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 120871582020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232524432000).

120871582020 is an abundant number, since it is smaller than the sum of its proper divisors (344177281980).

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

120871582020 is a wasteful number, since it uses less digits than its factorization.

120871582020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 120871582020 in words is "one hundred twenty billion, eight hundred seventy-one million, five hundred eighty-two thousand, twenty".