221322223122 has 256 divisors, whose sum is σ = 615501766656. Its totient is φ = 51623827200.

The previous prime is 221322223103. The next prime is 221322223163.

221322223122 is nontrivially palindromic in base 10.

221322223122 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 junction number, because it is equal to n+sod(n) for n = 221322223092 and 221322223101.

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 127 ways as a sum of consecutive naturals, for example, 26884747 + ... + 26892977.

It is an arithmetic number, because the mean of its divisors is an integer number (2404303776).

Almost surely, 2^221322223122 is an apocalyptic number.

221322223122 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 221322223122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307750883328).

221322223122 is an abundant number, since it is smaller than the sum of its proper divisors (394179543534).

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

221322223122 is a wasteful number, since it uses less digits than its factorization.

221322223122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8326 (or 8304 counting only the distinct ones).

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

It can be divided in two parts, 221322 and 223122, that added together give a palindrome (444444).

The spelling of 221322223122 in words is "two hundred twenty-one billion, three hundred twenty-two million, two hundred twenty-three thousand, one hundred twenty-two".