199431120 has 80 divisors (see below), whose sum is σ = 706561920. Its totient is φ = 45583872.

The previous prime is 199431107. The next prime is 199431149. The reversal of 199431120 is 21134991.

199431120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57675 + ... + 61034.

It is an arithmetic number, because the mean of its divisors is an integer number (8832024).

Almost surely, 2^199431120 is an apocalyptic number.

199431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199431120 is an abundant number, since it is smaller than the sum of its proper divisors (507130800).

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

199431120 is a wasteful number, since it uses less digits than its factorization.

199431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118732 (or 118726 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 199431120 is about 14122.0083557545. The cubic root of 199431120 is about 584.2485493601.

The spelling of 199431120 in words is "one hundred ninety-nine million, four hundred thirty-one thousand, one hundred twenty".