110220322123332 has 336 divisors, whose sum is σ = 312565117645872. Its totient is φ = 33865865994240.

The previous prime is 110220322123309. The next prime is 110220322123343. The reversal of 110220322123332 is 233321223022011.

110220322123332 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 2 + 0 + 322 + 1 + 2 + 3 + 332 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13222721325636 + 96997600797696 = 3636306^2 + 9848736^2 .

It is a super-3 number, since 3×110220322123332³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 110220322123296 and 110220322123305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 704488618 + ... + 704645054.

It is an arithmetic number, because the mean of its divisors is an integer number (930253326327).

Almost surely, 2^{110220322123332} is an apocalyptic number.

110220322123332 is a gapful number since it is divisible by the number (12) 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 110220322123332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156282558822936).

110220322123332 is an abundant number, since it is smaller than the sum of its proper divisors (202344795522540).

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

110220322123332 is a wasteful number, since it uses less digits than its factorization.

110220322123332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156770 (or 156753 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 110220322123332 its reverse (233321223022011), we get a palindrome (343541545145343).

The spelling of 110220322123332 in words is "one hundred ten trillion, two hundred twenty billion, three hundred twenty-two million, one hundred twenty-three thousand, three hundred thirty-two".