12198611318208 has 672 divisors, whose sum is σ = 38868940661760. Its totient is φ = 3364788510720.

The previous prime is 12198611318171. The next prime is 12198611318221. The reversal of 12198611318208 is 80281311689121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×12198611318208² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11411235498 + ... + 11411236566.

Almost surely, 2^{12198611318208} 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 12198611318208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19434470330880).

12198611318208 is an abundant number, since it is smaller than the sum of its proper divisors (26670329343552).

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

12198611318208 is a wasteful number, since it uses less digits than its factorization.

12198611318208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 51.

The spelling of 12198611318208 in words is "twelve trillion, one hundred ninety-eight billion, six hundred eleven million, three hundred eighteen thousand, two hundred eight".