22011022220220 has 288 divisors, whose sum is σ = 73236069466560. Its totient is φ = 5306753249280.

The previous prime is 22011022220219. The next prime is 22011022220221. The reversal of 22011022220220 is 2202222011022.

22011022220220 is a `hidden beast` number, since 2 + 201 + 1 + 0 + 22 + 220 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (22011022220219) and next prime (22011022220221).

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 = 22011022220193 and 22011022220202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011022220221) 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, 1087867224 + ... + 1087887456.

It is an arithmetic number, because the mean of its divisors is an integer number (254291907870).

Almost surely, 2^{22011022220220} is an apocalyptic number.

22011022220220 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 22011022220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36618034733280).

22011022220220 is an abundant number, since it is smaller than the sum of its proper divisors (51225047246340).

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

22011022220220 is a wasteful number, since it uses less digits than its factorization.

22011022220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23245 (or 23240 counting only the distinct ones).

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

Adding to 22011022220220 its reverse (2202222011022), we get a palindrome (24213244231242).

The spelling of 22011022220220 in words is "twenty-two trillion, eleven billion, twenty-two million, two hundred twenty thousand, two hundred twenty".