2122000209 has 48 divisors (see below), whose sum is σ = 3721835520. Its totient is φ = 1139080320.

The previous prime is 2122000193. The next prime is 2122000241. The reversal of 2122000209 is 9020002212.

It is not a de Polignac number, because 2122000209 - 2⁴ = 2122000193 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2122000191 and 2122000200.

It is not an unprimeable number, because it can be changed into a prime (2122000109) 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 47 ways as a sum of consecutive naturals, for example, 51904 + ... + 83294.

It is an arithmetic number, because the mean of its divisors is an integer number (77538240).

Almost surely, 2^2122000209 is an apocalyptic number.

2122000209 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2122000209 is a deficient number, since it is larger than the sum of its proper divisors (1599835311).

2122000209 is a wasteful number, since it uses less digits than its factorization.

2122000209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31470 (or 31467 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2122000209 is about 46065.1734936492. The cubic root of 2122000209 is about 1285.0355451517.

The spelling of 2122000209 in words is "two billion, one hundred twenty-two million, two hundred nine", and thus it is an aban number.