12198560 has 96 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 4264960.

The previous prime is 12198559. The next prime is 12198569. The reversal of 12198560 is 6589121.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12198569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50921 + ... + 51159.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 2^12198560 is an apocalyptic number.

12198560 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 12198560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

12198560 is an abundant number, since it is smaller than the sum of its proper divisors (20460640).

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

12198560 is a wasteful number, since it uses less digits than its factorization.

12198560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 12198560 is about 3492.6436978312. The cubic root of 12198560 is about 230.1986940858.

It can be divided in two parts, 1219 and 8560, that added together give a palindrome (9779).

The spelling of 12198560 in words is "twelve million, one hundred ninety-eight thousand, five hundred sixty".