12006000 has 240 divisors, whose sum is σ = 45264960. Its totient is φ = 2956800.

The previous prime is 12005963. The next prime is 12006017. The reversal of 12006000 is 60021.

12006000 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 (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413986 + ... + 414014.

It is an arithmetic number, because the mean of its divisors is an integer number (188604).

It is a vampire number, since it can be written as 2001 ⋅ 6000 (with its own digits).

Almost surely, 2^12006000 is an apocalyptic number.

12006000 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 12006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22632480).

12006000 is an abundant number, since it is smaller than the sum of its proper divisors (33258960).

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

12006000 is a wasteful number, since it uses less digits than its factorization.

12006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 12006000 is about 3464.9675323154. The cubic root of 12006000 is about 228.9809992943.

Adding to 12006000 its reverse (60021), we get a palindrome (12066021).

The spelling of 12006000 in words is "twelve million, six thousand".