220022110020 has 288 divisors, whose sum is σ = 679397031936. Its totient is φ = 53135308800.

The previous prime is 220022110013. The next prime is 220022110039. The reversal of 220022110020 is 20011220022.

It is a super-3 number, since 3×220022110020³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220022109978 and 220022110005.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102669069 + ... + 102671211.

It is an arithmetic number, because the mean of its divisors is an integer number (2359017472).

Almost surely, 2^220022110020 is an apocalyptic number.

220022110020 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 220022110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339698515968).

220022110020 is an abundant number, since it is smaller than the sum of its proper divisors (459374921916).

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

220022110020 is a wasteful number, since it uses less digits than its factorization.

220022110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220022110020 its reverse (20011220022), we get a palindrome (240033330042).

The spelling of 220022110020 in words is "two hundred twenty billion, twenty-two million, one hundred ten thousand, twenty".