12005840 has 80 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 3740160.

The previous prime is 12005831. The next prime is 12005843. The reversal of 12005840 is 4850021.

12005840 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5186 + ... + 7134.

It is an arithmetic number, because the mean of its divisors is an integer number (435240).

Almost surely, 2^12005840 is an apocalyptic number.

12005840 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 12005840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

12005840 is an abundant number, since it is smaller than the sum of its proper divisors (22813360).

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

12005840 is a wasteful number, since it uses less digits than its factorization.

12005840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 12005840 is about 3464.9444439991. The cubic root of 12005840 is about 228.9799821051.

Adding to 12005840 its reverse (4850021), we get a palindrome (16855861).

The spelling of 12005840 in words is "twelve million, five thousand, eight hundred forty".