12341122114321 has 96 divisors (see below), whose sum is σ = 17550195886080. Its totient is φ = 8403607180800.

The previous prime is 12341122114319. The next prime is 12341122114369.

12341122114321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12341122114321 - 2¹ = 12341122114319 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12341122114321.

It is not an unprimeable number, because it can be changed into a prime (12341122114921) 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, 366155956 + ... + 366189658.

It is an arithmetic number, because the mean of its divisors is an integer number (182814540480).

Almost surely, 2^{12341122114321} is an apocalyptic number.

12341122114321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12341122114321 is a deficient number, since it is larger than the sum of its proper divisors (5209073771759).

12341122114321 is a wasteful number, since it uses less digits than its factorization.

12341122114321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35247 (or 35234 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 1234112 and 2114321, that added together give a palindrome (3348433).

The spelling of 12341122114321 in words is "twelve trillion, three hundred forty-one billion, one hundred twenty-two million, one hundred fourteen thousand, three hundred twenty-one".