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12246 = 2313157
BaseRepresentation
bin10111111010110
3121210120
42333112
5342441
6132410
750463
oct27726
917716
1012246
119223
127106
135760
14466a
153966
hex2fd6

12246 has 16 divisors (see below), whose sum is σ = 26544. Its totient is φ = 3744.

The previous prime is 12241. The next prime is 12251. The reversal of 12246 is 64221.

12246 is a nontrivial binomial coefficient, being equal to C(157, 2).

It is an interprime number because it is at equal distance from previous prime (12241) and next prime (12251).

It is a plaindrome in base 10 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 156.

It is an arithmetic number, because the mean of its divisors is an integer number (1659).

212246 is an apocalyptic number.

12246 is the 156-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13272).

12246 is an abundant number, since it is smaller than the sum of its proper divisors (14298).

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

12246 is a wasteful number, since it uses less digits than its factorization.

12246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175.

The product of its digits is 96, while the sum is 15.

The square root of 12246 is about 110.6616464725. The cubic root of 12246 is about 23.0496721062.

Adding to 12246 its reverse (64221), we get a palindrome (76467).

The spelling of 12246 in words is "twelve thousand, two hundred forty-six".

Divisors: 1 2 3 6 13 26 39 78 157 314 471 942 2041 4082 6123 12246