12407200 has 72 divisors (see below), whose sum is σ = 32646348. Its totient is φ = 4577280.

The previous prime is 12407191. The next prime is 12407203. The reversal of 12407200 is 270421.

It can be written as a sum of positive squares in 6 ways, for example, as 2396304 + 10010896 = 1548^2 + 3164^2 .

It is a super-2 number, since 2×12407200² = 307877223680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12407203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9804 + ... + 10996.

Almost surely, 2^12407200 is an apocalyptic number.

12407200 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 12407200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16323174).

12407200 is an abundant number, since it is smaller than the sum of its proper divisors (20239148).

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

12407200 is a wasteful number, since it uses less digits than its factorization.

12407200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 12407200 is about 3522.3855552736. The cubic root of 12407200 is about 231.5036952825.

Adding to 12407200 its reverse (270421), we get a palindrome (12677621).

The spelling of 12407200 in words is "twelve million, four hundred seven thousand, two hundred".