180012 has 24 divisors (see below), whose sum is σ = 480256. Its totient is φ = 51408.

The previous prime is 180007. The next prime is 180023. The reversal of 180012 is 210081.

It is a happy number.

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 180012.

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 7 ways as a sum of consecutive naturals, for example, 988 + ... + 1155.

2¹⁸⁰⁰¹² is an apocalyptic number.

180012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

180012 is an abundant number, since it is smaller than the sum of its proper divisors (300244).

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

180012 is a wasteful number, since it uses less digits than its factorization.

180012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2155 counting only the distinct ones).

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

The square root of 180012 is about 424.2782106119. The cubic root of 180012 is about 56.4634164197.

Adding to 180012 its reverse (210081), we get a palindrome (390093).

The spelling of 180012 in words is "one hundred eighty thousand, twelve".