12352122664431 has 128 divisors (see below), whose sum is σ = 19334465372160. Its totient is φ = 6940748390400.

The previous prime is 12352122664429. The next prime is 12352122664463. The reversal of 12352122664431 is 13446622125321.

It is not a de Polignac number, because 12352122664431 - 2¹ = 12352122664429 is a prime.

It is a super-2 number, since 2×12352122664431² (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 (12352122664481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 956114190 + ... + 956127108.

It is an arithmetic number, because the mean of its divisors is an integer number (151050510720).

Almost surely, 2^{12352122664431} is an apocalyptic number.

12352122664431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12352122664431 is a deficient number, since it is larger than the sum of its proper divisors (6982342707729).

12352122664431 is a wasteful number, since it uses less digits than its factorization.

12352122664431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13317.

The product of its digits is 414720, while the sum is 42.

Adding to 12352122664431 its reverse (13446622125321), we get a palindrome (25798744789752).

The spelling of 12352122664431 in words is "twelve trillion, three hundred fifty-two billion, one hundred twenty-two million, six hundred sixty-four thousand, four hundred thirty-one".