12006400 has 132 divisors (see below), whose sum is σ = 34520608. Its totient is φ = 4055040.

The previous prime is 12006359. The next prime is 12006409. The reversal of 12006400 is 460021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179167 + ... + 179233.

Almost surely, 2^12006400 is an apocalyptic number.

12006400 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 12006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17260304).

12006400 is an abundant number, since it is smaller than the sum of its proper divisors (22514208).

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

12006400 is an equidigital number, since it uses as much as digits as its factorization.

12006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 12006400 is about 3465.0252524332. The cubic root of 12006400 is about 228.9835422279.

Adding to 12006400 its reverse (460021), we get a palindrome (12466421).

The spelling of 12006400 in words is "twelve million, six thousand, four hundred".