111120 has 40 divisors (see below), whose sum is σ = 345216. Its totient is φ = 29568.

The previous prime is 111119. The next prime is 111121. The reversal of 111120 is 21111.

It is an interprime number because it is at equal distance from previous prime (111119) and next prime (111121).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 111099 and 111108.

It is not an unprimeable number, because it can be changed into a prime (111121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9 + ... + 471.

2¹¹¹¹²⁰ is an apocalyptic number.

111120 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 111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172608).

111120 is an abundant number, since it is smaller than the sum of its proper divisors (234096).

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

111120 is a wasteful number, since it uses less digits than its factorization.

111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 111120 is about 333.3466664000. The cubic root of 111120 is about 48.0762676423.

Adding to 111120 its reverse (21111), we get a palindrome (132231).

Subtracting from 111120 its reverse (21111), we obtain a palindrome (90009).

It can be divided in two parts, 111 and 120, that added together give a triangular number (231 = T₂₁).

The spelling of 111120 in words is "one hundred eleven thousand, one hundred twenty", and thus it is an iban number.