198111312 has 200 divisors, whose sum is σ = 666862080. Its totient is φ = 56306880.

The previous prime is 198111311. The next prime is 198111313. The reversal of 198111312 is 213111891.

198111312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198111311) and next prime (198111313).

It is a super-2 number, since 2×198111312² = 78496183884722688, which contains 22 as substring.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198111311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1037137 + ... + 1037327.

Almost surely, 2^198111312 is an apocalyptic number.

198111312 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 198111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333431040).

198111312 is an abundant number, since it is smaller than the sum of its proper divisors (468750768).

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

198111312 is an equidigital number, since it uses as much as digits as its factorization.

198111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 203 counting only the distinct ones).

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

The square root of 198111312 is about 14075.2020234169. The cubic root of 198111312 is about 582.9568699846.

The spelling of 198111312 in words is "one hundred ninety-eight million, one hundred eleven thousand, three hundred twelve".