22211222200020 has 288 divisors, whose sum is σ = 80566618809600. Its totient is φ = 5065283559168.

The previous prime is 22211222200019. The next prime is 22211222200021. The reversal of 22211222200020 is 2000222211222.

22211222200020 is a `hidden beast` number, since 2 + 221 + 1 + 222 + 200 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (22211222200019) and next prime (22211222200021).

It is a super-2 number, since 2×22211222200020² (a number of 27 digits) contains 22 as substring.

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 = 22211222199966 and 22211222200002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22211222200021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10659874 + ... + 12572006.

It is an arithmetic number, because the mean of its divisors is an integer number (279745204200).

Almost surely, 2^{22211222200020} is an apocalyptic number.

22211222200020 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 22211222200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40283309404800).

22211222200020 is an abundant number, since it is smaller than the sum of its proper divisors (58355396609580).

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

22211222200020 is a wasteful number, since it uses less digits than its factorization.

22211222200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912604 (or 1912589 counting only the distinct ones).

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

Adding to 22211222200020 its reverse (2000222211222), we get a palindrome (24211444411242).

The spelling of 22211222200020 in words is "twenty-two trillion, two hundred eleven billion, two hundred twenty-two million, two hundred thousand, twenty".