110221232220 has 384 divisors, whose sum is σ = 387175219200. Its totient is φ = 25789881600.

The previous prime is 110221232213. The next prime is 110221232221. The reversal of 110221232220 is 22232122011.

110221232220 is a `hidden beast` number, since 110 + 2 + 212 + 322 + 20 = 666.

It is a super-2 number, since 2×110221232220² (a number of 23 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 = 110221232193 and 110221232202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110221232221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113982177 + ... + 113983143.

It is an arithmetic number, because the mean of its divisors is an integer number (1008268800).

Almost surely, 2^110221232220 is an apocalyptic number.

110221232220 is a gapful number since it is divisible by the number (10) 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 110221232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193587609600).

110221232220 is an abundant number, since it is smaller than the sum of its proper divisors (276953986980).

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

110221232220 is a wasteful number, since it uses less digits than its factorization.

110221232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 110221232220 its reverse (22232122011), we get a palindrome (132453354231).

The spelling of 110221232220 in words is "one hundred ten billion, two hundred twenty-one million, two hundred thirty-two thousand, two hundred twenty".