12122314324241 has 32 divisors (see below), whose sum is σ = 13356875159040. Its totient is φ = 10910318198400.

The previous prime is 12122314324229. The next prime is 12122314324261. The reversal of 12122314324241 is 14242341322121.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12122314324241 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12122314324198 and 12122314324207.

It is not an unprimeable number, because it can be changed into a prime (12122314324261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1388417846 + ... + 1388426576.

It is an arithmetic number, because the mean of its divisors is an integer number (417402348720).

Almost surely, 2^{12122314324241} is an apocalyptic number.

12122314324241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122314324241 is a deficient number, since it is larger than the sum of its proper divisors (1234560834799).

12122314324241 is a wasteful number, since it uses less digits than its factorization.

12122314324241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11325.

The product of its digits is 18432, while the sum is 32.

Adding to 12122314324241 its reverse (14242341322121), we get a palindrome (26364655646362).

The spelling of 12122314324241 in words is "twelve trillion, one hundred twenty-two billion, three hundred fourteen million, three hundred twenty-four thousand, two hundred forty-one".