223221122322 has 128 divisors (see below), whose sum is σ = 510869203200. Its totient is φ = 64424448000.

The previous prime is 223221122287. The next prime is 223221122329.

223221122322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×223221122322³ (a number of 35 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 223221122292 and 223221122301.

It is not an unprimeable number, because it can be changed into a prime (223221122329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21946054 + ... + 21956222.

It is an arithmetic number, because the mean of its divisors is an integer number (3991165650).

Almost surely, 2^223221122322 is an apocalyptic number.

223221122322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 223221122322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255434601600).

223221122322 is an abundant number, since it is smaller than the sum of its proper divisors (287648080878).

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

223221122322 is a wasteful number, since it uses less digits than its factorization.

223221122322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10412.

The product of its digits is 2304, while the sum is 24.

It can be divided in two parts, 223221 and 122322, that added together give a palindrome (345543).

The spelling of 223221122322 in words is "two hundred twenty-three billion, two hundred twenty-one million, one hundred twenty-two thousand, three hundred twenty-two".