12000 has 48 divisors (see below), whose sum is σ = 39312. Its totient is φ = 3200.

The previous prime is 11987. The next prime is 12007. The reversal of 12000 is 21.

12000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12007) by changing a digit.

12000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2398 + ... + 2402.

It is an arithmetic number, because the mean of its divisors is an integer number (819).

2^{12000} is an apocalyptic number.

12000 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 12000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656).

12000 is an abundant number, since it is smaller than the sum of its proper divisors (27312).

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

12000 is an equidigital number, since it uses as much as digits as its factorization.

12000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 12000 is about 109.5445115010. The cubic root of 12000 is about 22.8942848511.

Adding to 12000 its reverse (21), we get a palindrome (12021).

The spelling of 12000 in words is "twelve thousand", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000

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