199212960 has 96 divisors (see below), whose sum is σ = 631411200. Its totient is φ = 52794368.

The previous prime is 199212947. The next prime is 199212961. The reversal of 199212960 is 69212991.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (199212961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81841 + ... + 84239.

It is an arithmetic number, because the mean of its divisors is an integer number (6577200).

Almost surely, 2^199212960 is an apocalyptic number.

199212960 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 199212960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315705600).

199212960 is an abundant number, since it is smaller than the sum of its proper divisors (432198240).

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

199212960 is a wasteful number, since it uses less digits than its factorization.

199212960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The square root of 199212960 is about 14114.2821283975. The cubic root of 199212960 is about 584.0354328911.

The spelling of 199212960 in words is "one hundred ninety-nine million, two hundred twelve thousand, nine hundred sixty".