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13212 = 2232367
BaseRepresentation
bin11001110011100
3200010100
43032130
5410322
6141100
753343
oct31634
920110
1013212
119a21
127790
136024
144b5a
153dac
hex339c

13212 has 18 divisors (see below), whose sum is σ = 33488. Its totient is φ = 4392.

The previous prime is 13187. The next prime is 13217. The reversal of 13212 is 21231.

Adding to 13212 its reverse (21231), we get a palindrome (34443).

It can be divided in two parts, 132 and 12, that added together give a square (144 = 122).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 16.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13194 and 13203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13217) by changing a digit.

13212 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 5 ways as a sum of consecutive naturals, for example, 148 + ... + 219.

213212 is an apocalyptic number.

13212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13212 is an abundant number, since it is smaller than the sum of its proper divisors (20276).

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

13212 is a wasteful number, since it uses less digits than its factorization.

13212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 372 counting only the distinct ones).

The product of its digits is 12, while the sum is 9.

The square root of 13212 is about 114.9434643640. The cubic root of 13212 is about 23.6404744509.

The spelling of 13212 in words is "thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 367 734 1101 1468 2202 3303 4404 6606 13212