121122122009 has 12 divisors (see below), whose sum is σ = 140954185764. Its totient is φ = 103776944544.

The previous prime is 121122121999. The next prime is 121122122027. The reversal of 121122122009 is 900221221121.

It can be written as a sum of positive squares in 2 ways, for example, as 68979769600 + 52142352409 = 262640^2 + 228347^2 .

It is not a de Polignac number, because 121122122009 - 2²⁴ = 121105344793 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121122122509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 377594 + ... + 620339.

It is an arithmetic number, because the mean of its divisors is an integer number (11746182147).

Almost surely, 2^121122122009 is an apocalyptic number.

It is an amenable number.

121122122009 is a deficient number, since it is larger than the sum of its proper divisors (19832063755).

121122122009 is an equidigital number, since it uses as much as digits as its factorization.

121122122009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000424 (or 1000417 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 121122122009 in words is "one hundred twenty-one billion, one hundred twenty-two million, one hundred twenty-two thousand, nine".