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12222 = 232797
BaseRepresentation
bin10111110111110
3121202200
42332332
5342342
6132330
750430
oct27676
917680
1012222
119201
1270a6
135742
144650
15394c
hex2fbe

12222 has 24 divisors (see below), whose sum is σ = 30576. Its totient is φ = 3456.

The previous prime is 12211. The next prime is 12227. The reversal of 12222 is 22221.

Adding to 12222 its reverse (22221), we get a palindrome (34443).

Subtracting 12222 from its reverse (22221), we obtain a palindrome (9999).

It can be divided in two parts, 122 and 22, that added together give a square (144 = 122).

12222 is nontrivially palindromic in base 4.

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

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

12222 is a modest number, since divided by 222 gives 12 as remainder.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78 + ... + 174.

It is an arithmetic number, because the mean of its divisors is an integer number (1274).

212222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15288).

12222 is an abundant number, since it is smaller than the sum of its proper divisors (18354).

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

12222 is a wasteful number, since it uses less digits than its factorization.

12222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 109 counting only the distinct ones).

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

The square root of 12222 is about 110.5531546361. The cubic root of 12222 is about 23.0346044947.

The spelling of 12222 in words is "twelve thousand, two hundred twenty-two", and thus it is an iban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 194 291 582 679 873 1358 1746 2037 4074 6111 12222