198711312 has 80 divisors (see below), whose sum is σ = 531965952. Its totient is φ = 63866880.

The previous prime is 198711287. The next prime is 198711313. The reversal of 198711312 is 213117891.

198711312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×198711312² = 78972371033522688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (198711313) 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, 225112 + ... + 225992.

Almost surely, 2^198711312 is an apocalyptic number.

198711312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 14096×14097.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198711312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265982976).

198711312 is an abundant number, since it is smaller than the sum of its proper divisors (333254640).

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

198711312 is a wasteful number, since it uses less digits than its factorization.

198711312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1050 counting only the distinct ones).

The product of its digits is 3024, while the sum is 33.

The square root of 198711312 is about 14096.4999911326. The cubic root of 198711312 is about 583.5447913283.

The spelling of 198711312 in words is "one hundred ninety-eight million, seven hundred eleven thousand, three hundred twelve".