12092395560960 has 1792 divisors, whose sum is σ = 47687332331520. Its totient is φ = 2576351232000.

The previous prime is 12092395560943. The next prime is 12092395560967. The reversal of 12092395560960 is 6906559329021.

It is a happy number.

It is a super-2 number, since 2×12092395560960² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12092395560960.

It is not an unprimeable number, because it can be changed into a prime (12092395560967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43033436020 + ... + 43033436300.

It is an arithmetic number, because the mean of its divisors is an integer number (26611234560).

Almost surely, 2^{12092395560960} is an apocalyptic number.

12092395560960 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 12092395560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23843666165760).

12092395560960 is an abundant number, since it is smaller than the sum of its proper divisors (35594936770560).

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

12092395560960 is a wasteful number, since it uses less digits than its factorization.

12092395560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 57.

The spelling of 12092395560960 in words is "twelve trillion, ninety-two billion, three hundred ninety-five million, five hundred sixty thousand, nine hundred sixty".