12428200 has 24 divisors (see below), whose sum is σ = 28896030. Its totient is φ = 4971200.

The previous prime is 12428197. The next prime is 12428203. The reversal of 12428200 is 282421.

It is an interprime number because it is at equal distance from previous prime (12428197) and next prime (12428203).

It can be written as a sum of positive squares in 3 ways, for example, as 11142244 + 1285956 = 3338^2 + 1134^2 .

It is not an unprimeable number, because it can be changed into a prime (12428203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30871 + ... + 31270.

Almost surely, 2^12428200 is an apocalyptic number.

12428200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12428200 is an abundant number, since it is smaller than the sum of its proper divisors (16467830).

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

12428200 is a wasteful number, since it uses less digits than its factorization.

12428200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62157 (or 62148 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 12428200 is about 3525.3652293060. The cubic root of 12428200 is about 231.6342333930.

The spelling of 12428200 in words is "twelve million, four hundred twenty-eight thousand, two hundred".