112133532312 has 192 divisors, whose sum is σ = 333903772800. Its totient is φ = 33837834240.

The previous prime is 112133532307. The next prime is 112133532317. The reversal of 112133532312 is 213235331211.

112133532312 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 335 + 323 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (112133532307) and next prime (112133532317).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112133532317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9613588 + ... + 9625244.

It is an arithmetic number, because the mean of its divisors is an integer number (1739082150).

Almost surely, 2^112133532312 is an apocalyptic number.

112133532312 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 112133532312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166951886400).

112133532312 is an abundant number, since it is smaller than the sum of its proper divisors (221770240488).

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

112133532312 is a wasteful number, since it uses less digits than its factorization.

112133532312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11986 (or 11979 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

Adding to 112133532312 its reverse (213235331211), we get a palindrome (325368863523).

The spelling of 112133532312 in words is "one hundred twelve billion, one hundred thirty-three million, five hundred thirty-two thousand, three hundred twelve".