199912000 has 56 divisors (see below), whose sum is σ = 495101880. Its totient is φ = 79961600.

The previous prime is 199911997. The next prime is 199912081. The reversal of 199912000 is 219991.

It can be written as a sum of positive squares in 4 ways, for example, as 4359744 + 195552256 = 2088^2 + 13984^2 .

It is a super-3 number, since 3×199912000³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4495 + ... + 20494.

It is an arithmetic number, because the mean of its divisors is an integer number (8841105).

Almost surely, 2^199912000 is an apocalyptic number.

199912000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199912000 is an abundant number, since it is smaller than the sum of its proper divisors (295189880).

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

199912000 is an equidigital number, since it uses as much as digits as its factorization.

199912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25016 (or 24996 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 31.

The square root of 199912000 is about 14139.0240115787. The cubic root of 199912000 is about 584.7177638727.

The spelling of 199912000 in words is "one hundred ninety-nine million, nine hundred twelve thousand".