112133121104 has 60 divisors (see below), whose sum is σ = 229487493780. Its totient is φ = 53070958080.

The previous prime is 112133121103. The next prime is 112133121119. The reversal of 112133121104 is 401121331211.

It can be written as a sum of positive squares in 2 ways, for example, as 88982890000 + 23150231104 = 298300^2 + 152152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112133121103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7437734 + ... + 7452794.

It is an arithmetic number, because the mean of its divisors is an integer number (3824791563).

Almost surely, 2^112133121104 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 112133121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114743746890).

112133121104 is an abundant number, since it is smaller than the sum of its proper divisors (117354372676).

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

112133121104 is a wasteful number, since it uses less digits than its factorization.

112133121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16396 (or 16371 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 112133121104 its reverse (401121331211), we get a palindrome (513254452315).

The spelling of 112133121104 in words is "one hundred twelve billion, one hundred thirty-three million, one hundred twenty-one thousand, one hundred four".