12005000 has 100 divisors (see below), whose sum is σ = 32813715. Its totient is φ = 4116000.

The previous prime is 12004999. The next prime is 12005023. The reversal of 12005000 is 50021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12005000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2775556 + 9229444 = 1666^2 + 3038^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2450.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 1714997 + ... + 1715003.

Almost surely, 2^12005000 is an apocalyptic number.

12005000 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 12005000

12005000 is an abundant number, since it is smaller than the sum of its proper divisors (20808715).

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

12005000 is an frugal number, since it uses more digits than its factorization.

12005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 12005000 is about 3464.8232278141. The cubic root of 12005000 is about 228.9746417132.

Adding to 12005000 its reverse (50021), we get a palindrome (12055021).

The spelling of 12005000 in words is "twelve million, five thousand".