199402112 has 256 divisors, whose sum is σ = 555206400. Its totient is φ = 69009408.

The previous prime is 199402103. The next prime is 199402171. The reversal of 199402112 is 211204991.

199402112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×199402112² = 79522404540121088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3762278 + ... + 3762330.

It is an arithmetic number, because the mean of its divisors is an integer number (2168775).

Almost surely, 2^199402112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277603200).

199402112 is an abundant number, since it is smaller than the sum of its proper divisors (355804288).

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

199402112 is a wasteful number, since it uses less digits than its factorization.

199402112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 199402112 is about 14120.9812690195. The cubic root of 199402112 is about 584.2202209433.

The spelling of 199402112 in words is "one hundred ninety-nine million, four hundred two thousand, one hundred twelve".