12378200 has 48 divisors (see below), whose sum is σ = 29295000. Its totient is φ = 4862720.

The previous prime is 12378199. The next prime is 12378241. The reversal of 12378200 is 287321.

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 11 ways as a sum of consecutive naturals, for example, 11276 + ... + 12324.

Almost surely, 2^12378200 is an apocalyptic number.

12378200 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 12378200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14647500).

12378200 is an abundant number, since it is smaller than the sum of its proper divisors (16916800).

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

12378200 is a wasteful number, since it uses less digits than its factorization.

12378200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 12378200 is about 3518.2666186632. The cubic root of 12378200 is about 231.3231859908.

The spelling of 12378200 in words is "twelve million, three hundred seventy-eight thousand, two hundred".