42012 has 24 divisors (see below), whose sum is σ = 109200. Its totient is φ = 13968.

The previous prime is 41999. The next prime is 42013. The reversal of 42012 is 21024.

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

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 41985 and 42003.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42012.

It is not an unprimeable number, because it can be changed into a prime (42013) by changing a digit.

42012 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87 + ... + 302.

It is an arithmetic number, because the mean of its divisors is an integer number (4550).

2⁴²⁰¹² is an apocalyptic number.

It is an amenable number.

42012 is an abundant number, since it is smaller than the sum of its proper divisors (67188).

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 (54600).

42012 is a wasteful number, since it uses less digits than its factorization.

42012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 42012 is about 204.9682902305. The cubic root of 42012 is about 34.7635766352.

Adding to 42012 its reverse (21024), we get a palindrome (63036).

It can be divided in two parts, 4 and 2012, that added together give a triangular number (2016 = T₆₃).

The spelling of 42012 in words is "forty-two thousand, twelve", and thus it is an iban number.