12192250560000 has 1600 divisors, whose sum is σ = 48188334796800. Its totient is φ = 2736599040000.

The previous prime is 12192250559981. The next prime is 12192250560013. The reversal of 12192250560000 is 6505229121.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20086079697 + ... + 20086080303.

It is an arithmetic number, because the mean of its divisors is an integer number (30117709248).

Almost surely, 2^{12192250560000} is an apocalyptic number.

12192250560000 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 12192250560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24094167398400).

12192250560000 is an abundant number, since it is smaller than the sum of its proper divisors (35996084236800).

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

12192250560000 is an frugal number, since it uses more digits than its factorization.

12192250560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

Adding to 12192250560000 its reverse (6505229121), we get a palindrome (12198755789121).

The spelling of 12192250560000 in words is "twelve trillion, one hundred ninety-two billion, two hundred fifty million, five hundred sixty thousand".