180119120 has 20 divisors (see below), whose sum is σ = 418777140. Its totient is φ = 72047616.

The previous prime is 180119111. The next prime is 180119129. The reversal of 180119120 is 21911081.

It is an interprime number because it is at equal distance from previous prime (180119111) and next prime (180119129).

It can be written as a sum of positive squares in 2 ways, for example, as 50523664 + 129595456 = 7108^2 + 11384^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180119129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1125665 + ... + 1125824.

It is an arithmetic number, because the mean of its divisors is an integer number (20938857).

Almost surely, 2^180119120 is an apocalyptic number.

180119120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180119120 is an abundant number, since it is smaller than the sum of its proper divisors (238658020).

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

180119120 is a wasteful number, since it uses less digits than its factorization.

180119120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251502 (or 2251496 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 23.

The square root of 180119120 is about 13420.8464710688. The cubic root of 180119120 is about 564.7461412100.

The spelling of 180119120 in words is "one hundred eighty million, one hundred nineteen thousand, one hundred twenty".