12000408 has 64 divisors (see below), whose sum is σ = 34878720. Its totient is φ = 3369600.

The previous prime is 12000407. The next prime is 12000409. The reversal of 12000408 is 80400021.

12000408 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12000407) and next prime (12000409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000407) 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, 9663 + ... + 10833.

It is an arithmetic number, because the mean of its divisors is an integer number (544980).

Almost surely, 2^12000408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17439360).

12000408 is an abundant number, since it is smaller than the sum of its proper divisors (22878312).

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

12000408 is a wasteful number, since it uses less digits than its factorization.

12000408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 12000408 is about 3464.1605043647. The cubic root of 12000408 is about 228.9454431669.

Adding to 12000408 its reverse (80400021), we get a palindrome (92400429).

The spelling of 12000408 in words is "twelve million, four hundred eight", and thus it is an aban number.