123210121124009 has 2 divisors, whose sum is σ = 123210121124010. Its totient is φ = 123210121124008.

The previous prime is 123210121123997. The next prime is 123210121124071. The reversal of 123210121124009 is 900421121012321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79720844394409 + 43489276729600 = 8928653^2 + 6594640^2 .

It is a cyclic number.

It is not a de Polignac number, because 123210121124009 - 2⁸ = 123210121123753 is a prime.

It is not a weakly prime, because it can be changed into another prime (123210121124609) 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 as a sum of consecutive naturals, namely, 61605060562004 + 61605060562005.

It is an arithmetic number, because the mean of its divisors is an integer number (61605060562005).

Almost surely, 2^{123210121124009} is an apocalyptic number.

It is an amenable number.

123210121124009 is a deficient number, since it is larger than the sum of its proper divisors (1).

123210121124009 is an equidigital number, since it uses as much as digits as its factorization.

123210121124009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 123210121124009 in words is "one hundred twenty-three trillion, two hundred ten billion, one hundred twenty-one million, one hundred twenty-four thousand, nine".