112133223132 has 96 divisors (see below), whose sum is σ = 306491297280. Its totient is φ = 31247251200.

The previous prime is 112133223131. The next prime is 112133223197. The reversal of 112133223132 is 231322331211.

112133223132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (112133223131) 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 31 ways as a sum of consecutive naturals, for example, 469794 + ... + 667062.

It is an arithmetic number, because the mean of its divisors is an integer number (3192617680).

Almost surely, 2^112133223132 is an apocalyptic number.

112133223132 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 112133223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153245648640).

112133223132 is an abundant number, since it is smaller than the sum of its proper divisors (194358074148).

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

112133223132 is a wasteful number, since it uses less digits than its factorization.

112133223132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197451 (or 197449 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 112133223132 its reverse (231322331211), we get a palindrome (343455554343).

The spelling of 112133223132 in words is "one hundred twelve billion, one hundred thirty-three million, two hundred twenty-three thousand, one hundred thirty-two".