221022222122220 has 384 divisors, whose sum is σ = 673070056243200. Its totient is φ = 53972558315520.

The previous prime is 221022222122183. The next prime is 221022222122311. The reversal of 221022222122220 is 22221222220122.

221022222122220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27229541602 + ... + 27229549718.

It is an arithmetic number, because the mean of its divisors is an integer number (1752786604800).

Almost surely, 2^{221022222122220} is an apocalyptic number.

221022222122220 is a gapful number since it is divisible by the number (20) 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 221022222122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336535028121600).

221022222122220 is an abundant number, since it is smaller than the sum of its proper divisors (452047834120980).

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

221022222122220 is a wasteful number, since it uses less digits than its factorization.

221022222122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9873 (or 9871 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 221022222122220 its reverse (22221222220122), we get a palindrome (243243444342342).

The spelling of 221022222122220 in words is "two hundred twenty-one trillion, twenty-two billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty".