330012 has 36 divisors (see below), whose sum is σ = 851760. Its totient is φ = 107712.

The previous prime is 329999. The next prime is 330017. The reversal of 330012 is 210033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 329976 and 330003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330017) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3153 + ... + 3255.

It is an arithmetic number, because the mean of its divisors is an integer number (23660).

2³³⁰⁰¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425880).

330012 is an abundant number, since it is smaller than the sum of its proper divisors (521748).

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

330012 is a wasteful number, since it uses less digits than its factorization.

330012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 330012 is about 574.4667092182. The cubic root of 330012 is about 69.1050699170.

Adding to 330012 its reverse (210033), we get a palindrome (540045).

The spelling of 330012 in words is "three hundred thirty thousand, twelve".