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12012 = 22371113
BaseRepresentation
bin10111011101100
3121110220
42323230
5341022
6131340
750010
oct27354
917426
1012012
119030
126b50
135610
144540
15385c
hex2eec

12012 has 48 divisors (see below), whose sum is σ = 37632. Its totient is φ = 2880.

The previous prime is 12011. The next prime is 12037. The reversal of 12012 is 21021.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 918 + ... + 930.

It is an arithmetic number, because the mean of its divisors is an integer number (784).

212012 is an apocalyptic number.

12012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18816).

12012 is an abundant number, since it is smaller than the sum of its proper divisors (25620).

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

12012 is a wasteful number, since it uses less digits than its factorization.

12012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 12012 is about 109.5992700706. The cubic root of 12012 is about 22.9019137370.

Adding to 12012 its reverse (21021), we get a palindrome (33033).

Subtracting 12012 from its reverse (21021), we obtain a palindrome (9009).

The spelling of 12012 in words is "twelve thousand, twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012