12195372960 has 288 divisors, whose sum is σ = 45699256512. Its totient is φ = 3060633600.

The previous prime is 12195372923. The next prime is 12195372979. The reversal of 12195372960 is 6927359121.

It is a happy number.

12195372960 is a `hidden beast` number, since 1 + 2 + 195 + 372 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651735 + ... + 670185.

It is an arithmetic number, because the mean of its divisors is an integer number (158677974).

Almost surely, 2^12195372960 is an apocalyptic number.

12195372960 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 12195372960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22849628256).

12195372960 is an abundant number, since it is smaller than the sum of its proper divisors (33503883552).

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

12195372960 is a wasteful number, since it uses less digits than its factorization.

12195372960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18498 (or 18478 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 12195372960 in words is "twelve billion, one hundred ninety-five million, three hundred seventy-two thousand, nine hundred sixty".