112013333120 has 128 divisors (see below), whose sum is σ = 288892653840. Its totient is φ = 41285320704.

The previous prime is 112013333119. The next prime is 112013333143. The reversal of 112013333120 is 21333310211.

It can be written as a sum of positive squares in 8 ways, for example, as 33115264576 + 78898068544 = 181976^2 + 280888^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112013333092 and 112013333101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4788974 + ... + 4812306.

Almost surely, 2^112013333120 is an apocalyptic number.

112013333120 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 112013333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144446326920).

112013333120 is an abundant number, since it is smaller than the sum of its proper divisors (176879320720).

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

112013333120 is a wasteful number, since it uses less digits than its factorization.

112013333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23942 (or 23930 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 112013333120 its reverse (21333310211), we get a palindrome (133346643331).

The spelling of 112013333120 in words is "one hundred twelve billion, thirteen million, three hundred thirty-three thousand, one hundred twenty".