12198400 has 60 divisors (see below), whose sum is σ = 30254202. Its totient is φ = 4874240.

The previous prime is 12198397. The next prime is 12198413. The reversal of 12198400 is 489121.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8573184 + 3625216 = 2928^2 + 1904^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12324 + ... + 13276.

Almost surely, 2^12198400 is an apocalyptic number.

12198400 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 12198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15127101).

12198400 is an abundant number, since it is smaller than the sum of its proper divisors (18055802).

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

12198400 is an frugal number, since it uses more digits than its factorization.

12198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 12198400 is about 3492.6207924709. The cubic root of 12198400 is about 230.1976876295.

The spelling of 12198400 in words is "twelve million, one hundred ninety-eight thousand, four hundred".