3012 has 12 divisors (see below), whose sum is σ = 7056. Its totient is φ = 1000.

The previous prime is 3011. The next prime is 3019. The reversal of 3012 is 2103.

3012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (3011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114 + ... + 137.

It is an arithmetic number, because the mean of its divisors is an integer number (588).

2³⁰¹² is an apocalyptic number.

It is an amenable number.

3012 is an abundant number, since it is smaller than the sum of its proper divisors (4044).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528).

3012 is a wasteful number, since it uses less digits than its factorization.

3012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 3012 is about 54.8816909360. The cubic root of 3012 is about 14.4417001142.

Adding to 3012 its reverse (2103), we get a palindrome (5115).

Subtracting from 3012 its reverse (2103), we obtain a palindrome (909).

It can be divided in two parts, 301 and 2, that added together give a palindrome (303).

The spelling of 3012 in words is "three thousand, twelve", and thus it is an iban number.