110111120 has 160 divisors (see below), whose sum is σ = 311980032. Its totient is φ = 35329536.

The previous prime is 110111119. The next prime is 110111153. The reversal of 110111120 is 21111011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 110111098 and 110111107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1068989 + ... + 1069091.

Almost surely, 2^110111120 is an apocalyptic number.

110111120 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 110111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155990016).

110111120 is an abundant number, since it is smaller than the sum of its proper divisors (201868912).

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

110111120 is a wasteful number, since it uses less digits than its factorization.

110111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 110111120 is about 10493.3845826787. The cubic root of 110111120 is about 479.3032715832.

Adding to 110111120 its reverse (21111011), we get a palindrome (131222131).

It can be divided in two parts, 1101 and 11120, that added together give a palindrome (12221).

The spelling of 110111120 in words is "one hundred ten million, one hundred eleven thousand, one hundred twenty".