123042240321 has 96 divisors (see below), whose sum is σ = 224597495808. Its totient is φ = 58897964160.

The previous prime is 123042240313. The next prime is 123042240341.

It is a happy number.

123042240321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123042240321 - 2³ = 123042240313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123042240291 and 123042240300.

It is not an unprimeable number, because it can be changed into a prime (123042240311) 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 95 ways as a sum of consecutive naturals, for example, 12754926 + ... + 12764568.

It is an arithmetic number, because the mean of its divisors is an integer number (2339557248).

Almost surely, 2^123042240321 is an apocalyptic number.

123042240321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123042240321 is a deficient number, since it is larger than the sum of its proper divisors (101555255487).

123042240321 is a wasteful number, since it uses less digits than its factorization.

123042240321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10291 (or 10284 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 123042 and 240321, that added together give a palindrome (363363).

The spelling of 123042240321 in words is "one hundred twenty-three billion, forty-two million, two hundred forty thousand, three hundred twenty-one".