12205710017000 has 128 divisors (see below), whose sum is σ = 28882578067200. Its totient is φ = 4827519648000.

The previous prime is 12205710016987. The next prime is 12205710017003. The reversal of 12205710017000 is 71001750221.

It is not an unprimeable number, because it can be changed into a prime (12205710017003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 67787090 + ... + 67966910.

It is an arithmetic number, because the mean of its divisors is an integer number (225645141150).

Almost surely, 2^{12205710017000} is an apocalyptic number.

12205710017000 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 12205710017000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14441289033600).

12205710017000 is an abundant number, since it is smaller than the sum of its proper divisors (16676868050200).

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

12205710017000 is a wasteful number, since it uses less digits than its factorization.

12205710017000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180604 (or 180590 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 26.

Adding to 12205710017000 its reverse (71001750221), we get a palindrome (12276711767221).

The spelling of 12205710017000 in words is "twelve trillion, two hundred five billion, seven hundred ten million, seventeen thousand".