12197600 has 72 divisors (see below), whose sum is σ = 30310560. Its totient is φ = 4792320.

The previous prime is 12197593. The next prime is 12197609. The reversal of 12197600 is 679121.

12197600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12197600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12197609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63104 + ... + 63296.

It is an arithmetic number, because the mean of its divisors is an integer number (420980).

Almost surely, 2^12197600 is an apocalyptic number.

12197600 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 12197600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15155280).

12197600 is an abundant number, since it is smaller than the sum of its proper divisors (18112960).

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

12197600 is a wasteful number, since it uses less digits than its factorization.

12197600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 12197600 is about 3492.5062634160. The cubic root of 12197600 is about 230.1926552161.

The spelling of 12197600 in words is "twelve million, one hundred ninety-seven thousand, six hundred".