111720 has 96 divisors (see below), whose sum is σ = 410400. Its totient is φ = 24192.

The previous prime is 111697. The next prime is 111721. The reversal of 111720 is 27111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 111696 and 111705.

It is not an unprimeable number, because it can be changed into a prime (111721) by changing a digit.

111720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5871 + ... + 5889.

It is an arithmetic number, because the mean of its divisors is an integer number (4275).

2¹¹¹⁷²⁰ is an apocalyptic number.

111720 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 111720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205200).

111720 is an abundant number, since it is smaller than the sum of its proper divisors (298680).

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

111720 is a wasteful number, since it uses less digits than its factorization.

111720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 111720 is about 334.2454188168. The cubic root of 111720 is about 48.1626427250.

Adding to 111720 its reverse (27111), we get a palindrome (138831).

The spelling of 111720 in words is "one hundred eleven thousand, seven hundred twenty", and thus it is an iban number.