112103333121330 has 640 divisors, whose sum is σ = 314792940211200. Its totient is φ = 28602491406336.

The previous prime is 112103333121211. The next prime is 112103333121343. The reversal of 112103333121330 is 33121333301211.

112103333121330 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 0 + 333 + 312 + 13 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112103333121294 and 112103333121303.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 312265551691 + ... + 312265552049.

It is an arithmetic number, because the mean of its divisors is an integer number (491863969080).

Almost surely, 2^{112103333121330} is an apocalyptic number.

112103333121330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112103333121330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157396470105600).

112103333121330 is an abundant number, since it is smaller than the sum of its proper divisors (202689607089870).

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

112103333121330 is a wasteful number, since it uses less digits than its factorization.

112103333121330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 112103333121330 its reverse (33121333301211), we get a palindrome (145224666422541).

The spelling of 112103333121330 in words is "one hundred twelve trillion, one hundred three billion, three hundred thirty-three million, one hundred twenty-one thousand, three hundred thirty".