122400400231431 has 24 divisors (see below), whose sum is σ = 202068353014944. Its totient is φ = 69939434111040.

The previous prime is 122400400231313. The next prime is 122400400231433. The reversal of 122400400231431 is 134132004004221.

122400400231431 is a `hidden beast` number, since 1 + 2 + 24 + 0 + 0 + 400 + 231 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 122400400231431 - 2¹⁷ = 122400400100359 is a prime.

It is a super-2 number, since 2×122400400231431² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122400400231395 and 122400400231404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122400400231433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49502080 + ... + 51915861.

It is an arithmetic number, because the mean of its divisors is an integer number (8419514708956).

Almost surely, 2^{122400400231431} is an apocalyptic number.

122400400231431 is a deficient number, since it is larger than the sum of its proper divisors (79667952783513).

122400400231431 is a wasteful number, since it uses less digits than its factorization.

122400400231431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101437111 (or 101437108 counting only the distinct ones).

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

Adding to 122400400231431 its reverse (134132004004221), we get a palindrome (256532404235652).

The spelling of 122400400231431 in words is "one hundred twenty-two trillion, four hundred billion, four hundred million, two hundred thirty-one thousand, four hundred thirty-one".