111820800 has 360 divisors, whose sum is σ = 455068096. Its totient is φ = 23592960.

The previous prime is 111820783. The next prime is 111820823. The reversal of 111820800 is 8028111.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8601594 + ... + 8601606.

Almost surely, 2^111820800 is an apocalyptic number.

111820800 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 111820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227534048).

111820800 is an abundant number, since it is smaller than the sum of its proper divisors (343247296).

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

111820800 is an equidigital number, since it uses as much as digits as its factorization.

111820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 111820800 is about 10574.5354507893. The cubic root of 111820800 is about 481.7712337612.

Adding to 111820800 its reverse (8028111), we get a palindrome (119848911).

The spelling of 111820800 in words is "one hundred eleven million, eight hundred twenty thousand, eight hundred".