12330400 has 36 divisors (see below), whose sum is σ = 30103542. Its totient is φ = 4931840.

The previous prime is 12330391. The next prime is 12330401. The reversal of 12330400 is 403321.

It can be written as a sum of positive squares in 3 ways, for example, as 11048976 + 1281424 = 3324^2 + 1132^2 .

It is not an unprimeable number, because it can be changed into a prime (12330401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6907 + ... + 8506.

Almost surely, 2^12330400 is an apocalyptic number.

12330400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330400 is an abundant number, since it is smaller than the sum of its proper divisors (17773142).

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

12330400 is a wasteful number, since it uses less digits than its factorization.

12330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15433 (or 15420 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 12330400 is about 3511.4669299311. The cubic root of 12330400 is about 231.0250405443.

Adding to 12330400 its reverse (403321), we get a palindrome (12733721).

The spelling of 12330400 in words is "twelve million, three hundred thirty thousand, four hundred".