12160 has 32 divisors (see below), whose sum is σ = 30600. Its totient is φ = 4608.

The previous prime is 12157. The next prime is 12161. The reversal of 12160 is 6121.

Adding to 12160 its reverse (6121), we get a palindrome (18281).

It can be divided in two parts, 121 and 60, that multiplied together give a triangular number (7260 = T_{120}).

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 631 + ... + 649.

2^{12160} is an apocalyptic number.

12160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12160 is the 64-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15300).

12160 is an abundant number, since it is smaller than the sum of its proper divisors (18440).

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

12160 is an equidigital number, since it uses as much as digits as its factorization.

12160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 12160 is about 110.2723900167. The cubic root of 12160 is about 22.9955883158.

The spelling of 12160 in words is "twelve thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 6080 12160

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