120198309 has 16 divisors (see below), whose sum is σ = 199810560. Its totient is φ = 62440560.

The previous prime is 120198293. The next prime is 120198349. The reversal of 120198309 is 903891021.

It is not a de Polignac number, because 120198309 - 2⁴ = 120198293 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 120198309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120198349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259939 + ... + 260400.

It is an arithmetic number, because the mean of its divisors is an integer number (12488160).

Almost surely, 2^120198309 is an apocalyptic number.

It is an amenable number.

120198309 is a deficient number, since it is larger than the sum of its proper divisors (79612251).

120198309 is a wasteful number, since it uses less digits than its factorization.

120198309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520360.

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 120198309 is about 10963.4989396634. The cubic root of 120198309 is about 493.5139720260.

The spelling of 120198309 in words is "one hundred twenty million, one hundred ninety-eight thousand, three hundred nine".