120198000 has 320 divisors, whose sum is σ = 441971712. Its totient is φ = 27878400.

The previous prime is 120197983. The next prime is 120198037. The reversal of 120198000 is 891021.

It is a congruent number.

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, 1793967 + ... + 1794033.

Almost surely, 2^120198000 is an apocalyptic number.

120198000 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 120198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220985856).

120198000 is an abundant number, since it is smaller than the sum of its proper divisors (321773712).

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

120198000 is a wasteful number, since it uses less digits than its factorization.

120198000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 120198000 is about 10963.4848474379. The cubic root of 120198000 is about 493.5135491251.

The spelling of 120198000 in words is "one hundred twenty million, one hundred ninety-eight thousand".