112113333120 has 128 divisors (see below), whose sum is σ = 360701735040. Its totient is φ = 29617424384.

The previous prime is 112113333119. The next prime is 112113333139. The reversal of 112113333120 is 21333311211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 67422 + ... + 478301.

It is an arithmetic number, because the mean of its divisors is an integer number (2817982305).

Almost surely, 2^112113333120 is an apocalyptic number.

112113333120 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 112113333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180350867520).

112113333120 is an abundant number, since it is smaller than the sum of its proper divisors (248588401920).

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

112113333120 is a wasteful number, since it uses less digits than its factorization.

112113333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545852 (or 545840 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 112113333120 its reverse (21333311211), we get a palindrome (133446644331).

The spelling of 112113333120 in words is "one hundred twelve billion, one hundred thirteen million, three hundred thirty-three thousand, one hundred twenty".