199826112 has 112 divisors (see below), whose sum is σ = 548091360. Its totient is φ = 64217088.

The previous prime is 199826083. The next prime is 199826119. The reversal of 199826112 is 211628991.

It is not an unprimeable number, because it can be changed into a prime (199826119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 742714 + ... + 742982.

Almost surely, 2^199826112 is an apocalyptic number.

199826112 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 199826112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274045680).

199826112 is an abundant number, since it is smaller than the sum of its proper divisors (348265248).

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

199826112 is a wasteful number, since it uses less digits than its factorization.

199826112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 400 counting only the distinct ones).

The product of its digits is 15552, while the sum is 39.

The square root of 199826112 is about 14135.9864176505. The cubic root of 199826112 is about 584.6340146347.

The spelling of 199826112 in words is "one hundred ninety-nine million, eight hundred twenty-six thousand, one hundred twelve".