220221011120220 has 288 divisors, whose sum is σ = 729258626416320. Its totient is φ = 53348299776000.

The previous prime is 220221011120203. The next prime is 220221011120311. The reversal of 220221011120220 is 22021110122022.

It is a happy number.

220221011120220 is a `hidden beast` number, since 2 + 202 + 210 + 1 + 11 + 20 + 220 = 666.

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 = 220221011120193 and 220221011120202.

It is a congruent number.

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, 20411618586 + ... + 20411629374.

It is an arithmetic number, because the mean of its divisors is an integer number (2532148008390).

Almost surely, 2^{220221011120220} is an apocalyptic number.

220221011120220 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 220221011120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364629313208160).

220221011120220 is an abundant number, since it is smaller than the sum of its proper divisors (509037615296100).

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

220221011120220 is a wasteful number, since it uses less digits than its factorization.

220221011120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17317 (or 17312 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220221011120220 its reverse (22021110122022), we get a palindrome (242242121242242).

The spelling of 220221011120220 in words is "two hundred twenty trillion, two hundred twenty-one billion, eleven million, one hundred twenty thousand, two hundred twenty".