323313333122120 has 256 divisors, whose sum is σ = 804129223680000. Its totient is φ = 116014889088000.

The previous prime is 323313333122113. The next prime is 323313333122237. The reversal of 323313333122120 is 21221333313323.

It is a happy number.

It is a super-2 number, since 2×323313333122120² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 35146569281 + ... + 35146578479.

It is an arithmetic number, because the mean of its divisors is an integer number (3141129780000).

Almost surely, 2^{323313333122120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323313333122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402064611840000).

323313333122120 is an abundant number, since it is smaller than the sum of its proper divisors (480815890557880).

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

323313333122120 is a wasteful number, since it uses less digits than its factorization.

323313333122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11884 (or 11880 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 32.

Adding to 323313333122120 its reverse (21221333313323), we get a palindrome (344534666435443).

The spelling of 323313333122120 in words is "three hundred twenty-three trillion, three hundred thirteen billion, three hundred thirty-three million, one hundred twenty-two thousand, one hundred twenty".