12188000 has 96 divisors (see below), whose sum is σ = 32786208. Its totient is φ = 4416000.

The previous prime is 12187951. The next prime is 12188003. The reversal of 12188000 is 88121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12188003) 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 15 ways as a sum of consecutive naturals, for example, 43862 + ... + 44138.

It is an arithmetic number, because the mean of its divisors is an integer number (341523).

Almost surely, 2^12188000 is an apocalyptic number.

12188000 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 12188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16393104).

12188000 is an abundant number, since it is smaller than the sum of its proper divisors (20598208).

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

12188000 is a wasteful number, since it uses less digits than its factorization.

12188000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 12188000 is about 3491.1316216952. The cubic root of 12188000 is about 230.1322490845.

It can be divided in two parts, 121 and 88000, that multiplied together give a cube (10648000 = 220³).

The spelling of 12188000 in words is "twelve million, one hundred eighty-eight thousand".