2122120209 has 16 divisors (see below), whose sum is σ = 3092172480. Its totient is φ = 1283861760.

The previous prime is 2122120157. The next prime is 2122120229. The reversal of 2122120209 is 9020212212.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-2122120209 is a prime.

It is a super-3 number, since 3×2122120209³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2122120229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37732 + ... + 75285.

It is an arithmetic number, because the mean of its divisors is an integer number (193260780).

Almost surely, 2^2122120209 is an apocalyptic number.

It is an amenable number.

2122120209 is a deficient number, since it is larger than the sum of its proper divisors (970052271).

2122120209 is a wasteful number, since it uses less digits than its factorization.

2122120209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113600.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2122120209 is about 46066.4759776565. The cubic root of 2122120209 is about 1285.0597677944.

The spelling of 2122120209 in words is "two billion, one hundred twenty-two million, one hundred twenty thousand, two hundred nine".