321140344122 has 96 divisors (see below), whose sum is σ = 752665769856. Its totient is φ = 98372880000.

The previous prime is 321140344073. The next prime is 321140344123. The reversal of 321140344122 is 221443041123.

321140344122 is a `hidden beast` number, since 3 + 211 + 4 + 0 + 3 + 441 + 2 + 2 = 666.

It is a super-2 number, since 2×321140344122² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (321140344123) 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 47 ways as a sum of consecutive naturals, for example, 125886747 + ... + 125889297.

It is an arithmetic number, because the mean of its divisors is an integer number (7840268436).

Almost surely, 2^321140344122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321140344122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376332884928).

321140344122 is an abundant number, since it is smaller than the sum of its proper divisors (431525425734).

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

321140344122 is a wasteful number, since it uses less digits than its factorization.

321140344122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756 (or 4753 counting only the distinct ones).

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

Adding to 321140344122 its reverse (221443041123), we get a palindrome (542583385245).

The spelling of 321140344122 in words is "three hundred twenty-one billion, one hundred forty million, three hundred forty-four thousand, one hundred twenty-two".