12218611133168 has 160 divisors (see below), whose sum is σ = 26430777964800. Its totient is φ = 5425039001600.

The previous prime is 12218611133143. The next prime is 12218611133189. The reversal of 12218611133168 is 86133111681221.

It is a Cunningham number, because it is equal to 3495513²-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4537173230 + ... + 4537175922.

It is an arithmetic number, because the mean of its divisors is an integer number (165192362280).

Almost surely, 2^{12218611133168} 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 12218611133168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13215388982400).

12218611133168 is an abundant number, since it is smaller than the sum of its proper divisors (14212166831632).

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

12218611133168 is a wasteful number, since it uses less digits than its factorization.

12218611133168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5391 (or 5385 counting only the distinct ones).

The product of its digits is 82944, while the sum is 44.

The spelling of 12218611133168 in words is "twelve trillion, two hundred eighteen billion, six hundred eleven million, one hundred thirty-three thousand, one hundred sixty-eight".