120195900 has 360 divisors, whose sum is σ = 453720960. Its totient is φ = 27216000.

The previous prime is 120195883. The next prime is 120195913. The reversal of 120195900 is 9591021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 1692865 + ... + 1692935.

It is an arithmetic number, because the mean of its divisors is an integer number (1260336).

Almost surely, 2^120195900 is an apocalyptic number.

120195900 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 120195900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226860480).

120195900 is an abundant number, since it is smaller than the sum of its proper divisors (333525060).

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

120195900 is a wasteful number, since it uses less digits than its factorization.

120195900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 120195900 is about 10963.3890745517. The cubic root of 120195900 is about 493.5106750215.

The spelling of 120195900 in words is "one hundred twenty million, one hundred ninety-five thousand, nine hundred".