199824912 has 120 divisors (see below), whose sum is σ = 644232576. Its totient is φ = 56636928.

The previous prime is 199824883. The next prime is 199824923. The reversal of 199824912 is 219428991.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137373 + ... + 138819.

Almost surely, 2^199824912 is an apocalyptic number.

199824912 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 199824912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322116288).

199824912 is an abundant number, since it is smaller than the sum of its proper divisors (444407664).

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

199824912 is a wasteful number, since it uses less digits than its factorization.

199824912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1596 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 199824912 is about 14135.9439727243. The cubic root of 199824912 is about 584.6328443468.

The spelling of 199824912 in words is "one hundred ninety-nine million, eight hundred twenty-four thousand, nine hundred twelve".