220211221221222 has 256 divisors, whose sum is σ = 553481963274240. Its totient is φ = 56743305062400.

The previous prime is 220211221221221. The next prime is 220211221221241. The reversal of 220211221221222 is 222122122112022.

It is a happy number.

It is a super-3 number, since 3×220211221221222³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220211221221192 and 220211221221201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220211221221221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35535130228 + ... + 35535136424.

It is an arithmetic number, because the mean of its divisors is an integer number (2162038919040).

Almost surely, 2^{220211221221222} is an apocalyptic number.

220211221221222 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 220211221221222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276740981637120).

220211221221222 is an abundant number, since it is smaller than the sum of its proper divisors (333270742053018).

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

220211221221222 is a wasteful number, since it uses less digits than its factorization.

220211221221222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7627.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 220211221221222 its reverse (222122122112022), we get a palindrome (442333343333244).

The spelling of 220211221221222 in words is "two hundred twenty trillion, two hundred eleven billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred twenty-two".