321342243123 has 64 divisors (see below), whose sum is σ = 485015247360. Its totient is φ = 187561420800.

The previous prime is 321342243077. The next prime is 321342243127.

It is a happy number.

321342243123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 321342243123 - 2⁸ = 321342242867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (321342243127) 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 in 63 ways as a sum of consecutive naturals, for example, 84717915 + ... + 84721707.

It is an arithmetic number, because the mean of its divisors is an integer number (7578363240).

Almost surely, 2^321342243123 is an apocalyptic number.

321342243123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

321342243123 is a deficient number, since it is larger than the sum of its proper divisors (163673004237).

321342243123 is a wasteful number, since it uses less digits than its factorization.

321342243123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740.

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 321342 and 243123, that added together give a palindrome (564465).

The spelling of 321342243123 in words is "three hundred twenty-one billion, three hundred forty-two million, two hundred forty-three thousand, one hundred twenty-three".