111820000 has 60 divisors (see below), whose sum is σ = 275143176. Its totient is φ = 44720000.

The previous prime is 111819991. The next prime is 111820001. The reversal of 111820000 is 28111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111820001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17205 + ... + 22795.

Almost surely, 2^111820000 is an apocalyptic number.

111820000 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 111820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137571588).

111820000 is an abundant number, since it is smaller than the sum of its proper divisors (163323176).

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

111820000 is an frugal number, since it uses more digits than its factorization.

111820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5621 (or 5598 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 111820000 is about 10574.4976240009. The cubic root of 111820000 is about 481.7700848458.

Adding to 111820000 its reverse (28111), we get a palindrome (111848111).

The spelling of 111820000 in words is "one hundred eleven million, eight hundred twenty thousand".