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12042 = 233223
BaseRepresentation
bin10111100001010
3121112000
42330022
5341132
6131430
750052
oct27412
917460
1012042
119058
126b76
135634
144562
15387c
hex2f0a

12042 has 16 divisors (see below), whose sum is σ = 26880. Its totient is φ = 3996.

The previous prime is 12041. The next prime is 12043. The reversal of 12042 is 24021.

Adding to 12042 its reverse (24021), we get a palindrome (36063).

12042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12041) and next prime (12043).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12042.

It is not an unprimeable number, because it can be changed into a prime (12041) 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 7 ways as a sum of consecutive naturals, for example, 58 + ... + 165.

It is an arithmetic number, because the mean of its divisors is an integer number (1680).

212042 is an apocalyptic number.

12042 is an abundant number, since it is smaller than the sum of its proper divisors (14838).

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 (13440).

12042 is a wasteful number, since it uses less digits than its factorization.

12042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

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

The square root of 12042 is about 109.7360469490. The cubic root of 12042 is about 22.9209637488.

The spelling of 12042 in words is "twelve thousand, forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 27 54 223 446 669 1338 2007 4014 6021 12042