122123009 has 2 divisors, whose sum is σ = 122123010. Its totient is φ = 122123008.

The previous prime is 122123003. The next prime is 122123011. The reversal of 122123009 is 900321221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66471409 + 55651600 = 8153^2 + 7460^2 .

It is an emirp because it is prime and its reverse (900321221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122123009 - 2²⁰ = 121074433 is a prime.

Together with 122123011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122123003) 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 as a sum of consecutive naturals, namely, 61061504 + 61061505.

It is an arithmetic number, because the mean of its divisors is an integer number (61061505).

Almost surely, 2^122123009 is an apocalyptic number.

It is an amenable number.

122123009 is a deficient number, since it is larger than the sum of its proper divisors (1).

122123009 is an equidigital number, since it uses as much as digits as its factorization.

122123009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 122123009 is about 11050.9279700847. The cubic root of 122123009 is about 496.1342002135.

The spelling of 122123009 in words is "one hundred twenty-two million, one hundred twenty-three thousand, nine".