321434242434123 has 256 divisors, whose sum is σ = 571100799467520. Its totient is φ = 156285904896000.

The previous prime is 321434242434101. The next prime is 321434242434133.

321434242434123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 321434242434123 - 2⁹ = 321434242433611 is a prime.

It is not an unprimeable number, because it can be changed into a prime (321434242434133) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2814677461 + ... + 2814791657.

It is an arithmetic number, because the mean of its divisors is an integer number (2230862497920).

Almost surely, 2^{321434242434123} is an apocalyptic number.

321434242434123 is a deficient number, since it is larger than the sum of its proper divisors (249666557033397).

321434242434123 is a wasteful number, since it uses less digits than its factorization.

321434242434123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114478.

The product of its digits is 1327104, while the sum is 42.

The spelling of 321434242434123 in words is "three hundred twenty-one trillion, four hundred thirty-four billion, two hundred forty-two million, four hundred thirty-four thousand, one hundred twenty-three".