12122001322431 has 192 divisors, whose sum is σ = 22470547835904. Its totient is φ = 5652054650880.

The previous prime is 12122001322397. The next prime is 12122001322439. The reversal of 12122001322431 is 13422310022121.

It is not a de Polignac number, because 12122001322431 - 2¹⁴ = 12122001306047 is a prime.

It is a super-2 number, since 2×12122001322431² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122001322439) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3768105735 + ... + 3768108951.

It is an arithmetic number, because the mean of its divisors is an integer number (117034103312).

Almost surely, 2^{12122001322431} is an apocalyptic number.

12122001322431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12122001322431 is a deficient number, since it is larger than the sum of its proper divisors (10348546513473).

12122001322431 is a wasteful number, since it uses less digits than its factorization.

12122001322431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6382 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12122001322431 its reverse (13422310022121), we get a palindrome (25544311344552).

The spelling of 12122001322431 in words is "twelve trillion, one hundred twenty-two billion, one million, three hundred twenty-two thousand, four hundred thirty-one".