12195760 has 40 divisors (see below), whose sum is σ = 28565136. Its totient is φ = 4842240.

The previous prime is 12195731. The next prime is 12195761. The reversal of 12195760 is 6759121.

12195760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (12195761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12075 + ... + 13045.

It is a vampire number, since it can be written as 1256 ⋅ 9710 (with its own digits).

Almost surely, 2^12195760 is an apocalyptic number.

12195760 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 12195760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14282568).

12195760 is an abundant number, since it is smaller than the sum of its proper divisors (16369376).

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

12195760 is a wasteful number, since it uses less digits than its factorization.

12195760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 12195760 is about 3492.2428323357. The cubic root of 12195760 is about 230.1810798300.

The spelling of 12195760 in words is "twelve million, one hundred ninety-five thousand, seven hundred sixty".