123034424430321 has 48 divisors (see below), whose sum is σ = 184835716898560. Its totient is φ = 78793433821440.

The previous prime is 123034424430319. The next prime is 123034424430377.

123034424430321 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 344 + 2 + 4 + 4 + 303 + 2 + 1 = 666.

123034424430321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123034424430321 - 2¹ = 123034424430319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123034424430311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1226724186 + ... + 1226824476.

Almost surely, 2^{123034424430321} is an apocalyptic number.

It is an amenable number.

123034424430321 is a deficient number, since it is larger than the sum of its proper divisors (61801292468239).

123034424430321 is a wasteful number, since it uses less digits than its factorization.

123034424430321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147046 (or 147043 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 123034424430321 in words is "one hundred twenty-three trillion, thirty-four billion, four hundred twenty-four million, four hundred thirty thousand, three hundred twenty-one".