110120222120 has 64 divisors (see below), whose sum is σ = 254679999120. Its totient is φ = 42834448384.

The previous prime is 110120222119. The next prime is 110120222141. The reversal of 110120222120 is 21222021011.

It can be written as a sum of positive squares in 8 ways, for example, as 14281684036 + 95838538084 = 119506^2 + 309578^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110120222095 and 110120222104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9722 + ... + 469398.

Almost surely, 2^110120222120 is an apocalyptic number.

110120222120 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 110120222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127339999560).

110120222120 is an abundant number, since it is smaller than the sum of its proper divisors (144559777000).

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

110120222120 is a wasteful number, since it uses less digits than its factorization.

110120222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459854 (or 459850 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110120222120 its reverse (21222021011), we get a palindrome (131342243131).

The spelling of 110120222120 in words is "one hundred ten billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twenty".