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12330 = 2325137
BaseRepresentation
bin11000000101010
3121220200
43000222
5343310
6133030
750643
oct30052
917820
1012330
11929a
127176
1357c6
1446ca
1539c0
hex302a

12330 has 24 divisors (see below), whose sum is σ = 32292. Its totient is φ = 3264.

The previous prime is 12329. The next prime is 12343. The reversal of 12330 is 3321.

Adding to 12330 its reverse (3321), we get a palindrome (15651).

Subtracting from 12330 its reverse (3321), we obtain a palindrome (9009).

It can be divided in two parts, 123 and 30, that added together give a triangular number (153 = T17).

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12321 + 9 = 111^2 + 3^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22 + ... + 158.

212330 is an apocalyptic number.

12330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16146).

12330 is an abundant number, since it is smaller than the sum of its proper divisors (19962).

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

12330 is a wasteful number, since it uses less digits than its factorization.

12330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 12330 is about 111.0405331399. The cubic root of 12330 is about 23.1022542355.

The spelling of 12330 in words is "twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 274 411 685 822 1233 1370 2055 2466 4110 6165 12330