2122120121249 has 2 divisors, whose sum is σ = 2122120121250. Its totient is φ = 2122120121248.

The previous prime is 2122120121237. The next prime is 2122120121287. The reversal of 2122120121249 is 9421210212212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1932011041024 + 190109080225 = 1389968^2 + 436015^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122120121249 - 2²⁰ = 2122119072673 is a prime.

It is a super-2 number, since 2×2122120121249² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2122120621249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061060060624 + 1061060060625.

It is an arithmetic number, because the mean of its divisors is an integer number (1061060060625).

Almost surely, 2^{2122120121249} is an apocalyptic number.

It is an amenable number.

2122120121249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122120121249 is an equidigital number, since it uses as much as digits as its factorization.

2122120121249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 2122120121249 in words is "two trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twenty-one thousand, two hundred forty-nine".