199256112 has 140 divisors (see below), whose sum is σ = 631850184. Its totient is φ = 60341760.

The previous prime is 199256111. The next prime is 199256117. The reversal of 199256112 is 211652991.

199256112 is a `hidden beast` number, since 1 + 9 + 92 + 561 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (199256111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 127528 + ... + 129080.

Almost surely, 2^199256112 is an apocalyptic number.

199256112 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 199256112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315925092).

199256112 is an abundant number, since it is smaller than the sum of its proper divisors (432594072).

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

199256112 is a wasteful number, since it uses less digits than its factorization.

199256112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1569 counting only the distinct ones).

The product of its digits is 9720, while the sum is 36.

The square root of 199256112 is about 14115.8107099805. The cubic root of 199256112 is about 584.0775996215.

The spelling of 199256112 in words is "one hundred ninety-nine million, two hundred fifty-six thousand, one hundred twelve".