12000400 has 60 divisors (see below), whose sum is σ = 30367600. Its totient is φ = 4544640.

The previous prime is 12000383. The next prime is 12000407. The reversal of 12000400 is 400021.

It is not an unprimeable number, because it can be changed into a prime (12000407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6811 + ... + 8389.

Almost surely, 2^12000400 is an apocalyptic number.

12000400 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 12000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15183800).

12000400 is an abundant number, since it is smaller than the sum of its proper divisors (18367200).

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

12000400 is a wasteful number, since it uses less digits than its factorization.

12000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 12000400 is about 3464.1593496836. The cubic root of 12000400 is about 228.9453922918.

Adding to 12000400 its reverse (400021), we get a palindrome (12400421).

The spelling of 12000400 in words is "twelve million, four hundred", and thus it is an aban number.