12189600 has 108 divisors (see below), whose sum is σ = 43008966. Its totient is φ = 3248640.

The previous prime is 12189581. The next prime is 12189607. The reversal of 12189600 is 698121.

It can be written as a sum of positive squares in 3 ways, for example, as 8363664 + 3825936 = 2892^2 + 1956^2 .

It is not an unprimeable number, because it can be changed into a prime (12189607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6354 + ... + 8046.

Almost surely, 2^12189600 is an apocalyptic number.

12189600 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 12189600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21504483).

12189600 is an abundant number, since it is smaller than the sum of its proper divisors (30819366).

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

12189600 is a wasteful number, since it uses less digits than its factorization.

12189600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 12189600 is about 3491.3607662343. The cubic root of 12189600 is about 230.1423189753.

It can be divided in two parts, 12189 and 600, that multiplied together give a triangular number (7313400 = T₃₈₂₄).

The spelling of 12189600 in words is "twelve million, one hundred eighty-nine thousand, six hundred".