12222112000320 has 336 divisors, whose sum is σ = 43183607854608. Its totient is φ = 3170522234880.

The previous prime is 12222112000277. The next prime is 12222112000387. The reversal of 12222112000320 is 2300021122221.

12222112000320 is a `hidden beast` number, since 1 + 2 + 2 + 221 + 120 + 0 + 0 + 320 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 438710171904 + 11783401828416 = 662352^2 + 3432696^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12222112000293 and 12222112000302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 839365840 + ... + 839380400.

Almost surely, 2^{12222112000320} is an apocalyptic number.

12222112000320 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 12222112000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21591803927304).

12222112000320 is an abundant number, since it is smaller than the sum of its proper divisors (30961495854288).

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

12222112000320 is a wasteful number, since it uses less digits than its factorization.

12222112000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22498 (or 22485 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12222112000320 its reverse (2300021122221), we get a palindrome (14522133122541).

The spelling of 12222112000320 in words is "twelve trillion, two hundred twenty-two billion, one hundred twelve million, three hundred twenty", and thus it is an aban number.