120120209 has 12 divisors (see below), whose sum is σ = 133353780. Its totient is φ = 108108000.

The previous prime is 120120193. The next prime is 120120227. The reversal of 120120209 is 902021021.

It can be written as a sum of positive squares in 2 ways, for example, as 112678225 + 7441984 = 10615^2 + 2728^2 .

It is not a de Polignac number, because 120120209 - 2⁴ = 120120193 is a prime.

It is a super-2 number, since 2×120120209² = 28857729220407362, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120120269) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7307 + ... + 17135.

It is an arithmetic number, because the mean of its divisors is an integer number (11112815).

Almost surely, 2^120120209 is an apocalyptic number.

It is an amenable number.

120120209 is a deficient number, since it is larger than the sum of its proper divisors (13233571).

120120209 is a wasteful number, since it uses less digits than its factorization.

120120209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9952 (or 9941 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 120120209 is about 10959.9365417871. The cubic root of 120120209 is about 493.4070603938.

The spelling of 120120209 in words is "one hundred twenty million, one hundred twenty thousand, two hundred nine".