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12096 = 26337
BaseRepresentation
bin10111101000000
3121121000
42331000
5341341
6132000
750160
oct27500
917530
1012096
1190a7
127000
135676
1445a0
1538b6
hex2f40

12096 has 56 divisors (see below), whose sum is σ = 40640. Its totient is φ = 3456.

The previous prime is 12073. The next prime is 12097. The reversal of 12096 is 69021.

It can be divided in two parts, 120 and 96, that added together give a cube (216 = 63).

12096 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12097) by changing a digit.

12096 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, 1725 + ... + 1731.

212096 is an apocalyptic number.

12096 is a gapful number since it is divisible by the number (16) 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 12096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20320).

12096 is an abundant number, since it is smaller than the sum of its proper divisors (28544).

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

12096 is an equidigital number, since it uses as much as digits as its factorization.

12096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 12096 is about 109.9818166789. The cubic root of 12096 is about 22.9551741933.

The spelling of 12096 in words is "twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096