12638200 has 48 divisors (see below), whose sum is σ = 30411000. Its totient is φ = 4878720.

The previous prime is 12638189. The next prime is 12638207. The reversal of 12638200 is 283621.

It is a super-3 number, since 3×12638200³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12638207) 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 11 ways as a sum of consecutive naturals, for example, 4711 + ... + 6889.

Almost surely, 2^12638200 is an apocalyptic number.

12638200 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 12638200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15205500).

12638200 is an abundant number, since it is smaller than the sum of its proper divisors (17772800).

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

12638200 is a wasteful number, since it uses less digits than its factorization.

12638200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 12638200 is about 3555.0246131356. The cubic root of 12638200 is about 232.9315989728.

The spelling of 12638200 in words is "twelve million, six hundred thirty-eight thousand, two hundred".