122321224431 has 72 divisors (see below), whose sum is σ = 217875162960. Its totient is φ = 65710020096.

The previous prime is 122321224429. The next prime is 122321224457. The reversal of 122321224431 is 134422123221.

122321224431 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 2 + 1 + 224 + 431 = 666.

It is not a de Polignac number, because 122321224431 - 2¹ = 122321224429 is a prime.

It is a super-2 number, since 2×122321224431² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122321224395 and 122321224404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122321224411) 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 71 ways as a sum of consecutive naturals, for example, 6790785 + ... + 6808773.

It is an arithmetic number, because the mean of its divisors is an integer number (3026043930).

Almost surely, 2^122321224431 is an apocalyptic number.

122321224431 is a deficient number, since it is larger than the sum of its proper divisors (95553938529).

122321224431 is a wasteful number, since it uses less digits than its factorization.

122321224431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18933 (or 18923 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 122321224431 its reverse (134422123221), we get a palindrome (256743347652).

The spelling of 122321224431 in words is "one hundred twenty-two billion, three hundred twenty-one million, two hundred twenty-four thousand, four hundred thirty-one".