123002129 has 2 divisors, whose sum is σ = 123002130. Its totient is φ = 123002128.

The previous prime is 123002119. The next prime is 123002147. The reversal of 123002129 is 921200321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94090000 + 28912129 = 9700^2 + 5377^2 .

It is an emirp because it is prime and its reverse (921200321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123002129 - 2²⁰ = 121953553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123002129.

It is not a weakly prime, because it can be changed into another prime (123002119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61501064 + 61501065.

It is an arithmetic number, because the mean of its divisors is an integer number (61501065).

Almost surely, 2^123002129 is an apocalyptic number.

It is an amenable number.

123002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

123002129 is an equidigital number, since it uses as much as digits as its factorization.

123002129 is an evil number, because the sum of its binary digits is even.

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

The square root of 123002129 is about 11090.6324887267. The cubic root of 123002129 is about 497.3218526656.

The spelling of 123002129 in words is "one hundred twenty-three million, two thousand, one hundred twenty-nine".