112103222013120 has 896 divisors, whose sum is σ = 403804944829440. Its totient is φ = 26155600773120.

The previous prime is 112103222013071. The next prime is 112103222013203. The reversal of 112103222013120 is 21310222301211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12076179999 + ... + 12076189281.

It is an arithmetic number, because the mean of its divisors is an integer number (450675161640).

Almost surely, 2^{112103222013120} is an apocalyptic number.

112103222013120 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 112103222013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201902472414720).

112103222013120 is an abundant number, since it is smaller than the sum of its proper divisors (291701722816320).

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

112103222013120 is a wasteful number, since it uses less digits than its factorization.

112103222013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9953 (or 9943 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 112103222013120 its reverse (21310222301211), we get a palindrome (133413444314331).

The spelling of 112103222013120 in words is "one hundred twelve trillion, one hundred three billion, two hundred twenty-two million, thirteen thousand, one hundred twenty".