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12444 = 2231761
BaseRepresentation
bin11000010011100
3122001220
43002130
5344234
6133340
751165
oct30234
918056
1012444
119393
127250
135883
14476c
153a49
hex309c

12444 has 24 divisors (see below), whose sum is σ = 31248. Its totient is φ = 3840.

The previous prime is 12437. The next prime is 12451. The reversal of 12444 is 44421.

Adding to 12444 its reverse (44421), we get a palindrome (56865).

It is an interprime number because it is at equal distance from previous prime (12437) and next prime (12451).

It is a nude number because it is divisible by every one of its digits.

12444 is an undulating number in base 11.

12444 is a modest number, since divided by 444 gives 12 as remainder.

It is a plaindrome in base 10.

It is a congruent number.

It is an unprimeable number.

12444 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, 174 + ... + 234.

It is an arithmetic number, because the mean of its divisors is an integer number (1302).

212444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624).

12444 is an abundant number, since it is smaller than the sum of its proper divisors (18804).

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

12444 is a wasteful number, since it uses less digits than its factorization.

12444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 83 counting only the distinct ones).

The product of its digits is 128, while the sum is 15.

The square root of 12444 is about 111.5526781391. The cubic root of 12444 is about 23.1732350875.

The spelling of 12444 in words is "twelve thousand, four hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 183 204 244 366 732 1037 2074 3111 4148 6222 12444