112082729532 has 96 divisors (see below), whose sum is σ = 286672243200. Its totient is φ = 33947424000.

The previous prime is 112082729531. The next prime is 112082729533. The reversal of 112082729532 is 235927280211.

112082729532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (112082729531) and next prime (112082729533).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112082729531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 942282 + ... + 1054542.

It is an arithmetic number, because the mean of its divisors is an integer number (2986169200).

Almost surely, 2^112082729532 is an apocalyptic number.

112082729532 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 112082729532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143336121600).

112082729532 is an abundant number, since it is smaller than the sum of its proper divisors (174589513668).

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

112082729532 is a wasteful number, since it uses less digits than its factorization.

112082729532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112467 (or 112465 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 112082729532 in words is "one hundred twelve billion, eighty-two million, seven hundred twenty-nine thousand, five hundred thirty-two".