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12078 = 2321161
BaseRepresentation
bin10111100101110
3121120100
42330232
5341303
6131530
750133
oct27456
917510
1012078
119090
126ba6
135661
14458a
1538a3
hex2f2e

12078 has 24 divisors (see below), whose sum is σ = 29016. Its totient is φ = 3600.

The previous prime is 12073. The next prime is 12097. The reversal of 12078 is 87021.

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

12078 is an undulating number in base 11.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 12078.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168 + ... + 228.

It is an arithmetic number, because the mean of its divisors is an integer number (1209).

212078 is an apocalyptic number.

12078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14508).

12078 is an abundant number, since it is smaller than the sum of its proper divisors (16938).

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

12078 is a wasteful number, since it uses less digits than its factorization.

12078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 12078 is about 109.8999545041. The cubic root of 12078 is about 22.9437820454.

Adding to 12078 its reverse (87021), we get a palindrome (99099).

The spelling of 12078 in words is "twelve thousand, seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 122 183 198 366 549 671 1098 1342 2013 4026 6039 12078