119120 has 20 divisors (see below), whose sum is σ = 277140. Its totient is φ = 47616.

The previous prime is 119107. The next prime is 119129. The reversal of 119120 is 21911.

It can be written as a sum of positive squares in 2 ways, for example, as 33856 + 85264 = 184^2 + 292^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 119095 and 119104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119129) by changing a digit.

119120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 665 + ... + 824.

It is an arithmetic number, because the mean of its divisors is an integer number (13857).

2¹¹⁹¹²⁰ is an apocalyptic number.

119120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

119120 is an abundant number, since it is smaller than the sum of its proper divisors (158020).

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

119120 is a wasteful number, since it uses less digits than its factorization.

119120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 119120 is about 345.1376536978. The cubic root of 119120 is about 49.2033751843.

The spelling of 119120 in words is "one hundred nineteen thousand, one hundred twenty".