112533212160 has 528 divisors, whose sum is σ = 415897996800. Its totient is φ = 28052324352.

The previous prime is 112533212159. The next prime is 112533212167. The reversal of 112533212160 is 61212335211.

112533212160 is a `hidden beast` number, since 1 + 1 + 2 + 533 + 2 + 121 + 6 + 0 = 666.

It is a super-4 number, since 4×112533212160⁴ (a number of 45 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (112533212167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69165267 + ... + 69166893.

It is an arithmetic number, because the mean of its divisors is an integer number (787685600).

Almost surely, 2^112533212160 is an apocalyptic number.

112533212160 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 112533212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207948998400).

112533212160 is an abundant number, since it is smaller than the sum of its proper divisors (303364784640).

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

112533212160 is a wasteful number, since it uses less digits than its factorization.

112533212160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 112533212160 its reverse (61212335211), we get a palindrome (173745547371).

The spelling of 112533212160 in words is "one hundred twelve billion, five hundred thirty-three million, two hundred twelve thousand, one hundred sixty".