120090190080 has 576 divisors, whose sum is σ = 467123005440. Its totient is φ = 25682116608.

The previous prime is 120090190049. The next prime is 120090190097. The reversal of 120090190080 is 80091090021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42388344 + ... + 42391176.

It is an arithmetic number, because the mean of its divisors is an integer number (810977440).

Almost surely, 2^120090190080 is an apocalyptic number.

120090190080 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 120090190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233561502720).

120090190080 is an abundant number, since it is smaller than the sum of its proper divisors (347032815360).

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

120090190080 is a wasteful number, since it uses less digits than its factorization.

120090190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 120090190080 in words is "one hundred twenty billion, ninety million, one hundred ninety thousand, eighty".