120187882080 has 576 divisors, whose sum is σ = 493920504000. Its totient is φ = 27214258176.

The previous prime is 120187882063. The next prime is 120187882109. The reversal of 120187882080 is 80288781021.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23070516 + ... + 23075724.

It is an arithmetic number, because the mean of its divisors is an integer number (857500875).

Almost surely, 2^120187882080 is an apocalyptic number.

120187882080 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 120187882080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246960252000).

120187882080 is an abundant number, since it is smaller than the sum of its proper divisors (373732621920).

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

120187882080 is a wasteful number, since it uses less digits than its factorization.

120187882080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5356 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 120187882080 in words is "one hundred twenty billion, one hundred eighty-seven million, eight hundred eighty-two thousand, eighty".