323310221122112 has 224 divisors, whose sum is σ = 766293960757248. Its totient is φ = 132330502047744.

The previous prime is 323310221122081. The next prime is 323310221122129. The reversal of 323310221122112 is 211221122013323.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 35423488493 + ... + 35423497619.

It is an arithmetic number, because the mean of its divisors is an integer number (3420955181952).

Almost surely, 2^{323310221122112} is an apocalyptic number.

323310221122112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323310221122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383146980378624).

323310221122112 is an abundant number, since it is smaller than the sum of its proper divisors (442983739635136).

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

323310221122112 is a wasteful number, since it uses less digits than its factorization.

323310221122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14153 (or 14143 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 323310221122112 its reverse (211221122013323), we get a palindrome (534531343135435).

The spelling of 323310221122112 in words is "three hundred twenty-three trillion, three hundred ten billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twelve".