321431134122 has 192 divisors, whose sum is σ = 842077716480. Its totient is φ = 86666630400.

The previous prime is 321431134103. The next prime is 321431134139. The reversal of 321431134122 is 221431134123.

321431134122 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 311 + 341 + 2 + 2 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 140915622 + ... + 140917902.

It is an arithmetic number, because the mean of its divisors is an integer number (4385821440).

Almost surely, 2^321431134122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321431134122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421038858240).

321431134122 is an abundant number, since it is smaller than the sum of its proper divisors (520646582358).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321431134122 is a wasteful number, since it uses less digits than its factorization.

321431134122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209 (or 3206 counting only the distinct ones).

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

Adding to 321431134122 its reverse (221431134123), we get a palindrome (542862268245).

Subtracting from 321431134122 its reverse (221431134123), we obtain a palindrome (99999999999).

The spelling of 321431134122 in words is "three hundred twenty-one billion, four hundred thirty-one million, one hundred thirty-four thousand, one hundred twenty-two".