111114000 has 120 divisors (see below), whose sum is σ = 388147032. Its totient is φ = 29625600.

The previous prime is 111113999. The next prime is 111114011. The reversal of 111114000 is 411111.

It can be written as a sum of positive squares in 4 ways, for example, as 31404816 + 79709184 = 5604^2 + 8928^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×111114000³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14914 + ... + 21086.

Almost surely, 2^111114000 is an apocalyptic number.

111114000 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 111114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194073516).

111114000 is an abundant number, since it is smaller than the sum of its proper divisors (277033032).

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

111114000 is a wasteful number, since it uses less digits than its factorization.

111114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6202 (or 6183 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 111114000 is about 10541.0625650358. The cubic root of 111114000 is about 480.7540232318.

Adding to 111114000 its reverse (411111), we get a palindrome (111525111).

The spelling of 111114000 in words is "one hundred eleven million, one hundred fourteen thousand".