110222011122120 has 48 divisors (see below), whose sum is σ = 358221536148060. Its totient is φ = 29392536299136.

The previous prime is 110222011122079. The next prime is 110222011122121. The reversal of 110222011122120 is 21221110222011.

110222011122120 is a `hidden beast` number, since 110 + 2 + 220 + 111 + 221 + 2 + 0 = 666.

110222011122120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 106314122643876 + 3907888478244 = 10310874^2 + 1976838^2 .

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 = 110222011122093 and 110222011122102.

It is not an unprimeable number, because it can be changed into a prime (110222011122121) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 153086126199 + ... + 153086126918.

Almost surely, 2^{110222011122120} is an apocalyptic number.

110222011122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110222011122120 is an abundant number, since it is smaller than the sum of its proper divisors (247999525025940).

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

110222011122120 is a wasteful number, since it uses less digits than its factorization.

110222011122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306172253134 (or 306172253127 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110222011122120 its reverse (21221110222011), we get a palindrome (131443121344131).

The spelling of 110222011122120 in words is "one hundred ten trillion, two hundred twenty-two billion, eleven million, one hundred twenty-two thousand, one hundred twenty".