198012 has 24 divisors (see below), whose sum is σ = 478800. Its totient is φ = 63616.

The previous prime is 197971. The next prime is 198013. The reversal of 198012 is 210891.

198012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 198012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64 + ... + 632.

It is an arithmetic number, because the mean of its divisors is an integer number (19950).

2¹⁹⁸⁰¹² is an apocalyptic number.

198012 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 198012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239400).

198012 is an abundant number, since it is smaller than the sum of its proper divisors (280788).

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

198012 is a wasteful number, since it uses less digits than its factorization.

198012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 198012 is about 444.9853930187. The cubic root of 198012 is about 58.2859442788.

The spelling of 198012 in words is "one hundred ninety-eight thousand, twelve".