832121717112 has 256 divisors, whose sum is σ = 2782563840000. Its totient is φ = 225084251520.

The previous prime is 832121717111. The next prime is 832121717123. The reversal of 832121717112 is 211717121238.

It is a happy number.

832121717112 is a `hidden beast` number, since 8 + 321 + 217 + 1 + 7 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832121717111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46501687 + ... + 46519577.

It is an arithmetic number, because the mean of its divisors is an integer number (10869390000).

Almost surely, 2^832121717112 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 832121717112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391281920000).

832121717112 is an abundant number, since it is smaller than the sum of its proper divisors (1950442122888).

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

832121717112 is a wasteful number, since it uses less digits than its factorization.

832121717112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19551 (or 19541 counting only the distinct ones).

The product of its digits is 9408, while the sum is 36.

The spelling of 832121717112 in words is "eight hundred thirty-two billion, one hundred twenty-one million, seven hundred seventeen thousand, one hundred twelve".