22212211010220 has 3456 divisors, whose sum is σ = 100796393779200. Its totient is φ = 4019015024640.

The previous prime is 22212211010219. The next prime is 22212211010221. The reversal of 22212211010220 is 2201011221222.

It is a happy number.

22212211010220 is a `hidden beast` number, since 2 + 221 + 2 + 211 + 0 + 10 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (22212211010219) and next prime (22212211010221).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22212211010193 and 22212211010202.

It is not an unprimeable number, because it can be changed into a prime (22212211010221) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 48604400232 + ... + 48604400688.

It is an arithmetic number, because the mean of its divisors is an integer number (29165623200).

Almost surely, 2^{22212211010220} is an apocalyptic number.

22212211010220 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 22212211010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50398196889600).

22212211010220 is an abundant number, since it is smaller than the sum of its proper divisors (78584182768980).

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

22212211010220 is a wasteful number, since it uses less digits than its factorization.

22212211010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22212211010220 its reverse (2201011221222), we get a palindrome (24413222231442).

The spelling of 22212211010220 in words is "twenty-two trillion, two hundred twelve billion, two hundred eleven million, ten thousand, two hundred twenty".