12195360 has 120 divisors (see below), whose sum is σ = 43085196. Its totient is φ = 3248640.

The previous prime is 12195343. The next prime is 12195361. The reversal of 12195360 is 6359121.

12195360 is a `hidden beast` number, since 121 + 9 + 536 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12194064 + 1296 = 3492^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12195361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12490 + ... + 13430.

Almost surely, 2^12195360 is an apocalyptic number.

12195360 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 12195360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21542598).

12195360 is an abundant number, since it is smaller than the sum of its proper divisors (30889836).

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

12195360 is an equidigital number, since it uses as much as digits as its factorization.

12195360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 12195360 is about 3492.1855620800. The cubic root of 12195360 is about 230.1785632877.

It can be divided in two parts, 121 and 95360, that added together give a square (95481 = 309²).

The spelling of 12195360 in words is "twelve million, one hundred ninety-five thousand, three hundred sixty".