180120 has 64 divisors (see below), whose sum is σ = 576000. Its totient is φ = 44928.

The previous prime is 180097. The next prime is 180137. The reversal of 180120 is 21081.

It is a happy number.

It is a super-3 number, since 3×180120³ = 17531015333184000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 180096 and 180105.

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 15 ways as a sum of consecutive naturals, for example, 2241 + ... + 2319.

It is an arithmetic number, because the mean of its divisors is an integer number (9000).

2¹⁸⁰¹²⁰ is an apocalyptic number.

180120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288000).

180120 is an abundant number, since it is smaller than the sum of its proper divisors (395880).

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

180120 is a wasteful number, since it uses less digits than its factorization.

180120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 180120 is about 424.4054665058. The cubic root of 180120 is about 56.4747060927.

It can be divided in two parts, 180 and 120, that added together give a triangular number (300 = T₂₄).

The spelling of 180120 in words is "one hundred eighty thousand, one hundred twenty".