199712000 has 108 divisors (see below), whose sum is σ = 503884836. Its totient is φ = 78873600.

The previous prime is 199711999. The next prime is 199712011. The reversal of 199712000 is 217991.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

199712000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6390784 + 193321216 = 2528^2 + 13904^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2527961 + ... + 2528039.

Almost surely, 2^199712000 is an apocalyptic number.

199712000 is a gapful number since it is divisible by the number (10) 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 199712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251942418).

199712000 is an abundant number, since it is smaller than the sum of its proper divisors (304172836).

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

199712000 is an frugal number, since it uses more digits than its factorization.

199712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 29.

The square root of 199712000 is about 14131.9496177987. The cubic root of 199712000 is about 584.5227070931.

Adding to 199712000 its reverse (217991), we get a palindrome (199929991).

The spelling of 199712000 in words is "one hundred ninety-nine million, seven hundred twelve thousand".