22021122220020 has 864 divisors, whose sum is σ = 87100106655744. Its totient is φ = 4571533105920.

The previous prime is 22021122220007. The next prime is 22021122220033. The reversal of 22021122220020 is 2002222112022.

22021122220020 is a `hidden beast` number, since 220 + 2 + 1 + 1 + 222 + 200 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (22021122220007) and next prime (22021122220033).

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 = 22021122219975 and 22021122220002.

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 287 ways as a sum of consecutive naturals, for example, 6351634327 + ... + 6351637793.

Almost surely, 2^{22021122220020} is an apocalyptic number.

22021122220020 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 22021122220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43550053327872).

22021122220020 is an abundant number, since it is smaller than the sum of its proper divisors (65078984435724).

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

22021122220020 is a wasteful number, since it uses less digits than its factorization.

22021122220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5063 (or 5038 counting only the distinct ones).

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

Adding to 22021122220020 its reverse (2002222112022), we get a palindrome (24023344332042).

The spelling of 22021122220020 in words is "twenty-two trillion, twenty-one billion, one hundred twenty-two million, two hundred twenty thousand, twenty".