12026800 has 60 divisors (see below), whose sum is σ = 29268216. Its totient is φ = 4748800.

The previous prime is 12026797. The next prime is 12026801. The reversal of 12026800 is 862021.

It is a happy number.

12026800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12026801) 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, 42660 + ... + 42940.

Almost surely, 2^12026800 is an apocalyptic number.

12026800 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 12026800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14634108).

12026800 is an abundant number, since it is smaller than the sum of its proper divisors (17241416).

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

12026800 is a wasteful number, since it uses less digits than its factorization.

12026800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 12026800 is about 3467.9677045786. The cubic root of 12026800 is about 229.1131570200.

Adding to 12026800 its reverse (862021), we get a palindrome (12888821).

The spelling of 12026800 in words is "twelve million, twenty-six thousand, eight hundred".