12342133124321 has 64 divisors (see below), whose sum is σ = 17247187894272. Its totient is φ = 8591086152000.

The previous prime is 12342133124317. The next prime is 12342133124327.

12342133124321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12342133124321 - 2² = 12342133124317 is a prime.

It is a super-2 number, since 2×12342133124321² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12342133124327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2111216 + ... + 5398286.

It is an arithmetic number, because the mean of its divisors is an integer number (269487310848).

Almost surely, 2^{12342133124321} is an apocalyptic number.

12342133124321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12342133124321 is a deficient number, since it is larger than the sum of its proper divisors (4905054769951).

12342133124321 is a wasteful number, since it uses less digits than its factorization.

12342133124321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287155 (or 3287133 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 1234213 and 3124321, that added together give a palindrome (4358534).

The spelling of 12342133124321 in words is "twelve trillion, three hundred forty-two billion, one hundred thirty-three million, one hundred twenty-four thousand, three hundred twenty-one".