12211212099968 has 128 divisors (see below), whose sum is σ = 29087674560000. Its totient is φ = 4992627290112.

The previous prime is 12211212099907. The next prime is 12211212099973. The reversal of 12211212099968 is 86999021211221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12211212099968² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7028708 + ... + 8592156.

It is an arithmetic number, because the mean of its divisors is an integer number (227247457500).

Almost surely, 2^{12211212099968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211212099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14543837280000).

12211212099968 is an abundant number, since it is smaller than the sum of its proper divisors (16876462460032).

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

12211212099968 is a wasteful number, since it uses less digits than its factorization.

12211212099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563872 (or 1563860 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 53.

The spelling of 12211212099968 in words is "twelve trillion, two hundred eleven billion, two hundred twelve million, ninety-nine thousand, nine hundred sixty-eight".