360012 has 24 divisors (see below), whose sum is σ = 884800. Its totient is φ = 113616.

The previous prime is 360007. The next prime is 360023. The reversal of 360012 is 210063.

360012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 360012.

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, 562 + ... + 1017.

2³⁶⁰⁰¹² is an apocalyptic number.

It is an amenable number.

360012 is an abundant number, since it is smaller than the sum of its proper divisors (524788).

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

360012 is a wasteful number, since it uses less digits than its factorization.

360012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 360012 is about 600.0099999167. The cubic root of 360012 is about 71.1386565018.

Subtracting from 360012 its sum of digits (12), we obtain a square (360000 = 600²).

Subtracting from 360012 its product of nonzero digits (36), we obtain a triangular number (359976 = T₈₄₈).

Adding to 360012 its reverse (210063), we get a palindrome (570075).

The spelling of 360012 in words is "three hundred sixty thousand, twelve".