8221778312112 has 200 divisors, whose sum is σ = 24237399003312. Its totient is φ = 2690072985600.

The previous prime is 8221778312081. The next prime is 8221778312203. The reversal of 8221778312112 is 2112138771228.

8221778312112 is a `hidden beast` number, since 8 + 2 + 217 + 7 + 8 + 312 + 112 = 666.

It is a super-2 number, since 2×8221778312112² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24231312 + ... + 24568272.

Almost surely, 2^{8221778312112} 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 8221778312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12118699501656).

8221778312112 is an abundant number, since it is smaller than the sum of its proper divisors (16015620691200).

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

8221778312112 is a wasteful number, since it uses less digits than its factorization.

8221778312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337329 (or 337314 counting only the distinct ones).

The product of its digits is 150528, while the sum is 45.

The spelling of 8221778312112 in words is "eight trillion, two hundred twenty-one billion, seven hundred seventy-eight million, three hundred twelve thousand, one hundred twelve".