199941120 has 132 divisors (see below), whose sum is σ = 692950440. Its totient is φ = 53305344.

The previous prime is 199941113. The next prime is 199941121. The reversal of 199941120 is 21149991.

199941120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199941121) 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 11 ways as a sum of consecutive naturals, for example, 43911 + ... + 48249.

Almost surely, 2^199941120 is an apocalyptic number.

199941120 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 199941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346475220).

199941120 is an abundant number, since it is smaller than the sum of its proper divisors (493009320).

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

199941120 is a wasteful number, since it uses less digits than its factorization.

199941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 199941120 is about 14140.0537481298. The cubic root of 199941120 is about 584.7461532884.

The spelling of 199941120 in words is "one hundred ninety-nine million, nine hundred forty-one thousand, one hundred twenty".