22222200220220 has 384 divisors, whose sum is σ = 64422998728704. Its totient is φ = 6214579200000.

The previous prime is 22222200220211. The next prime is 22222200220223. The reversal of 22222200220220 is 2202200222222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22222200220192 and 22222200220201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22222200220223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 222392270 + ... + 222492170.

It is an arithmetic number, because the mean of its divisors is an integer number (167768225856).

Almost surely, 2^{22222200220220} is an apocalyptic number.

22222200220220 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 22222200220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32211499364352).

22222200220220 is an abundant number, since it is smaller than the sum of its proper divisors (42200798508484).

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

22222200220220 is a wasteful number, since it uses less digits than its factorization.

22222200220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100253 (or 100251 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 22222200220220 its reverse (2202200222222), we get a palindrome (24424400442442).

It can be divided in two parts, 222222002 and 20220, that added together give a palindrome (222242222).

The spelling of 22222200220220 in words is "twenty-two trillion, two hundred twenty-two billion, two hundred million, two hundred twenty thousand, two hundred twenty".