199200012 has 48 divisors (see below), whose sum is σ = 509773824. Its totient is φ = 60040000.

The previous prime is 199199969. The next prime is 199200019. The reversal of 199200012 is 210002991.

It is not an unprimeable number, because it can be changed into a prime (199200019) 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, 21262 + ... + 29162.

It is an arithmetic number, because the mean of its divisors is an integer number (10620288).

Almost surely, 2^199200012 is an apocalyptic number.

199200012 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 199200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254886912).

199200012 is an abundant number, since it is smaller than the sum of its proper divisors (310573812).

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

199200012 is a wasteful number, since it uses less digits than its factorization.

199200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8110 (or 8108 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 199200012 is about 14113.8234366170. The cubic root of 199200012 is about 584.0227793391.

The spelling of 199200012 in words is "one hundred ninety-nine million, two hundred thousand, twelve".