199690120 has 64 divisors (see below), whose sum is σ = 514800000. Its totient is φ = 68290560.

The previous prime is 199690093. The next prime is 199690129. The reversal of 199690120 is 21096991.

199690120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

199690120 is a nontrivial binomial coefficient, being equal to C(19985, 2).

It is a super-2 number, since 2×199690120² = 79752288051228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 199690120.

It is not an unprimeable number, because it can be changed into a prime (199690129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159256 + ... + 160504.

It is an arithmetic number, because the mean of its divisors is an integer number (8043750).

Almost surely, 2^199690120 is an apocalyptic number.

199690120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199690120 is the 19984-th triangular number.

199690120 is the 6662-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199690120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257400000).

199690120 is an abundant number, since it is smaller than the sum of its proper divisors (315109880).

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

199690120 is a wasteful number, since it uses less digits than its factorization.

199690120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 37.

The square root of 199690120 is about 14131.1754641997. The cubic root of 199690120 is about 584.5013599800.

The spelling of 199690120 in words is "one hundred ninety-nine million, six hundred ninety thousand, one hundred twenty".