223312122132 has 96 divisors (see below), whose sum is σ = 572929459200. Its totient is φ = 67136762880.

The previous prime is 223312122127. The next prime is 223312122149. The reversal of 223312122132 is 231221213322.

223312122132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 9260563 + ... + 9284645.

It is an arithmetic number, because the mean of its divisors is an integer number (5968015200).

Almost surely, 2^223312122132 is an apocalyptic number.

223312122132 is a gapful number since it is divisible by the number (22) 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 223312122132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286464729600).

223312122132 is an abundant number, since it is smaller than the sum of its proper divisors (349617337068).

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

223312122132 is a wasteful number, since it uses less digits than its factorization.

223312122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24653 (or 24651 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 223312122132 its reverse (231221213322), we get a palindrome (454533335454).

The spelling of 223312122132 in words is "two hundred twenty-three billion, three hundred twelve million, one hundred twenty-two thousand, one hundred thirty-two".