122442400431 has 96 divisors (see below), whose sum is σ = 208977874560. Its totient is φ = 68355366912.

The previous prime is 122442400427. The next prime is 122442400439. The reversal of 122442400431 is 134004244221.

122442400431 is a `hidden beast` number, since 1 + 224 + 4 + 2 + 4 + 0 + 0 + 431 = 666.

It is not a de Polignac number, because 122442400431 - 2² = 122442400427 is a prime.

It is a super-2 number, since 2×122442400431² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122442400395 and 122442400404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122442400439) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42855555 + ... + 42858411.

It is an arithmetic number, because the mean of its divisors is an integer number (2176852860).

Almost surely, 2^122442400431 is an apocalyptic number.

122442400431 is a deficient number, since it is larger than the sum of its proper divisors (86535474129).

122442400431 is a wasteful number, since it uses less digits than its factorization.

122442400431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3665 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 122442400431 its reverse (134004244221), we get a palindrome (256446644652).

The spelling of 122442400431 in words is "one hundred twenty-two billion, four hundred forty-two million, four hundred thousand, four hundred thirty-one".