12217101017760 has 1536 divisors, whose sum is σ = 47616591052800. Its totient is φ = 2914884403200.

The previous prime is 12217101017749. The next prime is 12217101017819. The reversal of 12217101017760 is 6771010171221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18709189594 + ... + 18709190246.

It is an arithmetic number, because the mean of its divisors is an integer number (31000384800).

Almost surely, 2^{12217101017760} is an apocalyptic number.

12217101017760 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 12217101017760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23808295526400).

12217101017760 is an abundant number, since it is smaller than the sum of its proper divisors (35399490035040).

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

12217101017760 is a wasteful number, since it uses less digits than its factorization.

12217101017760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 36.

Adding to 12217101017760 its reverse (6771010171221), we get a palindrome (18988111188981).

The spelling of 12217101017760 in words is "twelve trillion, two hundred seventeen billion, one hundred one million, seventeen thousand, seven hundred sixty".