12230400 has 324 divisors, whose sum is σ = 50564472. Its totient is φ = 2580480.

The previous prime is 12230377. The next prime is 12230417. The reversal of 12230400 is 403221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 940794 + ... + 940806.

Almost surely, 2^12230400 is an apocalyptic number.

12230400 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 12230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25282236).

12230400 is an abundant number, since it is smaller than the sum of its proper divisors (38334072).

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

12230400 is a wasteful number, since it uses less digits than its factorization.

12230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12230400 is about 3497.1988791031. The cubic root of 12230400 is about 230.3988040061.

Adding to 12230400 its reverse (403221), we get a palindrome (12633621).

The spelling of 12230400 in words is "twelve million, two hundred thirty thousand, four hundred".