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12312 = 233419
BaseRepresentation
bin11000000011000
3121220000
43000120
5343222
6133000
750616
oct30030
917800
1012312
119283
127160
1357b1
1446b6
1539ac
hex3018

12312 has 40 divisors (see below), whose sum is σ = 36300. Its totient is φ = 3888.

The previous prime is 12301. The next prime is 12323. The reversal of 12312 is 21321.

Adding to 12312 its reverse (21321), we get a palindrome (33633).

Subtracting 12312 from its reverse (21321), we obtain a palindrome (9009).

It can be divided in two parts, 12 and 312, that added together give a square (324 = 182).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12301) and next prime (12323).

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 15.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 12294 and 12303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 639 + ... + 657.

212312 is an apocalyptic number.

12312 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 12312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18150).

12312 is an abundant number, since it is smaller than the sum of its proper divisors (23988).

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

12312 is a wasteful number, since it uses less digits than its factorization.

12312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 24 counting only the distinct ones).

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

The square root of 12312 is about 110.9594520534. The cubic root of 12312 is about 23.0910067877.

The spelling of 12312 in words is "twelve thousand, three hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 513 648 684 1026 1368 1539 2052 3078 4104 6156 12312