110321220 has 192 divisors, whose sum is σ = 348364800. Its totient is φ = 25966080.

The previous prime is 110321207. The next prime is 110321221. The reversal of 110321220 is 22123011.

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 = 110321196 and 110321205.

It is not an unprimeable number, because it can be changed into a prime (110321221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1553785 + ... + 1553855.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 2^110321220 is an apocalyptic number.

110321220 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 110321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

110321220 is an abundant number, since it is smaller than the sum of its proper divisors (238043580).

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

110321220 is a wasteful number, since it uses less digits than its factorization.

110321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 110321220 is about 10503.3908810441. The cubic root of 110321220 is about 479.6079263614.

Adding to 110321220 its reverse (22123011), we get a palindrome (132444231).

The spelling of 110321220 in words is "one hundred ten million, three hundred twenty-one thousand, two hundred twenty".