12240400 has 60 divisors (see below), whose sum is σ = 29890944. Its totient is φ = 4816000.

The previous prime is 12240379. The next prime is 12240401. The reversal of 12240400 is 404221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12240401) 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, 28185 + ... + 28615.

Almost surely, 2^12240400 is an apocalyptic number.

12240400 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 12240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14945472).

12240400 is an abundant number, since it is smaller than the sum of its proper divisors (17650544).

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

12240400 is a wasteful number, since it uses less digits than its factorization.

12240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 12240400 is about 3498.6283026352. The cubic root of 12240400 is about 230.4615809223.

Adding to 12240400 its reverse (404221), we get a palindrome (12644621).

The spelling of 12240400 in words is "twelve million, two hundred forty thousand, four hundred".