199801200 has 240 divisors, whose sum is σ = 681956352. Its totient is φ = 49920000.

The previous prime is 199801181. The next prime is 199801201. The reversal of 199801200 is 2108991.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199801201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1525135 + ... + 1525265.

Almost surely, 2^199801200 is an apocalyptic number.

199801200 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 199801200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340978176).

199801200 is an abundant number, since it is smaller than the sum of its proper divisors (482155152).

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

199801200 is a wasteful number, since it uses less digits than its factorization.

199801200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 199801200 is about 14135.1052348400. The cubic root of 199801200 is about 584.6097184975.

The spelling of 199801200 in words is "one hundred ninety-nine million, eight hundred one thousand, two hundred".