1327222132992 has 1080 divisors, whose sum is σ = 4974833223360. Its totient is φ = 344277319680.

The previous prime is 1327222132981. The next prime is 1327222132993. The reversal of 1327222132992 is 2992312227231.

1327222132992 is a `hidden beast` number, since 1 + 32 + 72 + 221 + 329 + 9 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1327222132993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1216518367 + ... + 1216519457.

Almost surely, 2^{1327222132992} is an apocalyptic number.

1327222132992 is a gapful number since it is divisible by the number (12) 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 1327222132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487416611680).

1327222132992 is an abundant number, since it is smaller than the sum of its proper divisors (3647611090368).

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

1327222132992 is a wasteful number, since it uses less digits than its factorization.

1327222132992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1149 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 1327222132992 in words is "one trillion, three hundred twenty-seven billion, two hundred twenty-two million, one hundred thirty-two thousand, nine hundred ninety-two".