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12198 = 2319107
BaseRepresentation
bin10111110100110
3121201210
42332212
5342243
6132250
750364
oct27646
917653
1012198
11918a
127086
135724
144634
153933
hex2fa6

12198 has 16 divisors (see below), whose sum is σ = 25920. Its totient is φ = 3816.

The previous prime is 12197. The next prime is 12203. The reversal of 12198 is 89121.

12198 is nontrivially palindromic in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12197) 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, 61 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

212198 is an apocalyptic number.

12198 is an abundant number, since it is smaller than the sum of its proper divisors (13722).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12960).

12198 is a wasteful number, since it uses less digits than its factorization.

12198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131.

The product of its digits is 144, while the sum is 21.

The square root of 12198 is about 110.4445562262. Note that the first 3 decimals coincide. The cubic root of 12198 is about 23.0195171450.

It can be divided in two parts, 12 and 198, that added together give a triangular number (210 = T20).

The spelling of 12198 in words is "twelve thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 19 38 57 107 114 214 321 642 2033 4066 6099 12198