111198312 has 64 divisors (see below), whose sum is σ = 311784000. Its totient is φ = 36718272.

The previous prime is 111198289. The next prime is 111198319. The reversal of 111198312 is 213891111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (111198319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21183 + ... + 25905.

It is an arithmetic number, because the mean of its divisors is an integer number (4871625).

Almost surely, 2^111198312 is an apocalyptic number.

111198312 is a gapful number since it is divisible by the number (12) 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 111198312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155892000).

111198312 is an abundant number, since it is smaller than the sum of its proper divisors (200585688).

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

111198312 is a wasteful number, since it uses less digits than its factorization.

111198312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4847 (or 4837 counting only the distinct ones).

The product of its digits is 432, while the sum is 27.

The square root of 111198312 is about 10545.0610240055. The cubic root of 111198312 is about 480.8755893274.

The spelling of 111198312 in words is "one hundred eleven million, one hundred ninety-eight thousand, three hundred twelve".