121120209 has 36 divisors (see below), whose sum is σ = 204471540. Its totient is φ = 68886720.

The previous prime is 121120199. The next prime is 121120229. The reversal of 121120209 is 902021121.

It can be written as a sum of positive squares in 2 ways, for example, as 34574400 + 86545809 = 5880^2 + 9303^2 .

It is not a de Polignac number, because 121120209 - 2⁵ = 121120177 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121120191 and 121120200.

It is not an unprimeable number, because it can be changed into a prime (121120229) 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 35 ways as a sum of consecutive naturals, for example, 118119 + ... + 119139.

It is an arithmetic number, because the mean of its divisors is an integer number (5679765).

Almost surely, 2^121120209 is an apocalyptic number.

It is an amenable number.

121120209 is a deficient number, since it is larger than the sum of its proper divisors (83351331).

121120209 is a wasteful number, since it uses less digits than its factorization.

121120209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 121120209 is about 11005.4626890467. The cubic root of 121120209 is about 494.7724819121.

The spelling of 121120209 in words is "one hundred twenty-one million, one hundred twenty thousand, two hundred nine".