2012 has 6 divisors (see below), whose sum is σ = 3528. Its totient is φ = 1004.

The previous prime is 2011. The next prime is 2017. The reversal of 2012 is 2102.

2012 is nontrivially palindromic in base 14.

It is an Ulam number.

2012 is an undulating number in base 14.

It is a plaindrome in base 11.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 1987 and 2005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 248 + ... + 255.

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

2²⁰¹² is an apocalyptic number.

It is an amenable number.

2012 is a deficient number, since it is larger than the sum of its proper divisors (1516).

2012 is a wasteful number, since it uses less digits than its factorization.

2012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 2012 is about 44.8553229840. The cubic root of 2012 is about 12.6243586904.

Adding to 2012 its reverse (2102), we get a palindrome (4114).

Multiplying 2012 by its reverse (2102), we get a palindrome (4229224).

It can be divided in two parts, 20 and 12, that added together give a 5-th power (32 = 2⁵).

The spelling of 2012 in words is "two thousand, twelve", and thus it is an iban number.