123623129 has 12 divisors (see below), whose sum is σ = 144238500. Its totient is φ = 105644448.

The previous prime is 123623117. The next prime is 123623147. The reversal of 123623129 is 921326321.

It can be written as a sum of positive squares in 2 ways, for example, as 113209600 + 10413529 = 10640^2 + 3227^2 .

It is not a de Polignac number, because 123623129 - 2¹⁶ = 123557593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123623029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13487 + ... + 20715.

It is an arithmetic number, because the mean of its divisors is an integer number (12019875).

Almost surely, 2^123623129 is an apocalyptic number.

It is an amenable number.

123623129 is a deficient number, since it is larger than the sum of its proper divisors (20615371).

123623129 is an equidigital number, since it uses as much as digits as its factorization.

123623129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7592 (or 7585 counting only the distinct ones).

The product of its digits is 3888, while the sum is 29.

The square root of 123623129 is about 11118.5938409495. The cubic root of 123623129 is about 498.1573899176.

The spelling of 123623129 in words is "one hundred twenty-three million, six hundred twenty-three thousand, one hundred twenty-nine".