122433121431 has 32 divisors (see below), whose sum is σ = 186456983040. Its totient is φ = 79370020800.

The previous prime is 122433121429. The next prime is 122433121451. The reversal of 122433121431 is 134121334221.

122433121431 is a `hidden beast` number, since 1 + 224 + 3 + 3 + 1 + 2 + 1 + 431 = 666.

It is not a de Polignac number, because 122433121431 - 2¹ = 122433121429 is a prime.

It is a super-2 number, since 2×122433121431² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 122433121395 and 122433121404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122433121451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297505 + ... + 577386.

It is an arithmetic number, because the mean of its divisors is an integer number (5826780720).

Almost surely, 2^122433121431 is an apocalyptic number.

122433121431 is a deficient number, since it is larger than the sum of its proper divisors (64023861609).

122433121431 is an equidigital number, since it uses as much as digits as its factorization.

122433121431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875044 (or 875038 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 122433121431 its reverse (134121334221), we get a palindrome (256554455652).

The spelling of 122433121431 in words is "one hundred twenty-two billion, four hundred thirty-three million, one hundred twenty-one thousand, four hundred thirty-one".