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12180 = 2235729
BaseRepresentation
bin10111110010100
3121201010
42332110
5342210
6132220
750340
oct27624
917633
1012180
119173
127070
13570c
144620
153920
hex2f94

12180 has 48 divisors (see below), whose sum is σ = 40320. Its totient is φ = 2688.

The previous prime is 12163. The next prime is 12197. The reversal of 12180 is 8121.

Adding to 12180 its reverse (8121), we get a triangular number (20301 = T201).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12163) and next prime (12197).

It is a Harshad number since it is a multiple of its sum of digits (12).

12180 is an undulating number in base 12.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 29 × 21 × 20.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (840).

212180 is an apocalyptic number.

12180 is a gapful number since it is divisible by the number (10) 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 12180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160).

12180 is an abundant number, since it is smaller than the sum of its proper divisors (28140).

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

12180 is a wasteful number, since it uses less digits than its factorization.

12180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 12180 is about 110.3630372906. The cubic root of 12180 is about 23.0081886407.

The spelling of 12180 in words is "twelve thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 348 406 420 435 580 609 812 870 1015 1218 1740 2030 2436 3045 4060 6090 12180