220221200012022 has 128 divisors (see below), whose sum is σ = 541019576908800. Its totient is φ = 66664671827040.

The previous prime is 220221200011993. The next prime is 220221200012039. The reversal of 220221200012022 is 220210002122022.

220221200012022 is a `hidden beast` number, since 220 + 221 + 20 + 0 + 0 + 1 + 202 + 2 = 666.

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 = 220221200011986 and 220221200012004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44159604 + ... + 48892872.

It is an arithmetic number, because the mean of its divisors is an integer number (4226715444600).

Almost surely, 2^{220221200012022} is an apocalyptic number.

220221200012022 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 220221200012022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270509788454400).

220221200012022 is an abundant number, since it is smaller than the sum of its proper divisors (320798376896778).

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

220221200012022 is an equidigital number, since it uses as much as digits as its factorization.

220221200012022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734270 (or 4734252 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220221200012022 its reverse (220210002122022), we get a palindrome (440431202134044).

The spelling of 220221200012022 in words is "two hundred twenty trillion, two hundred twenty-one billion, two hundred million, twelve thousand, twenty-two".