822812132772 has 192 divisors, whose sum is σ = 2463255674880. Its totient is φ = 232661808000.

The previous prime is 822812132761. The next prime is 822812132777. The reversal of 822812132772 is 277231218228.

822812132772 is a `hidden beast` number, since 82 + 281 + 21 + 3 + 277 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (822812132777) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30922978 + ... + 30949574.

It is an arithmetic number, because the mean of its divisors is an integer number (12829456640).

Almost surely, 2^822812132772 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 822812132772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231627837440).

822812132772 is an abundant number, since it is smaller than the sum of its proper divisors (1640443542108).

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

822812132772 is a wasteful number, since it uses less digits than its factorization.

822812132772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27039 (or 27031 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The spelling of 822812132772 in words is "eight hundred twenty-two billion, eight hundred twelve million, one hundred thirty-two thousand, seven hundred seventy-two".