112112022221120 has 336 divisors, whose sum is σ = 283869935078400. Its totient is φ = 42057484185600.

The previous prime is 112112022221119. The next prime is 112112022221123. The reversal of 112112022221120 is 21122220211211.

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 = 112112022221092 and 112112022221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112022221123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53108488865 + ... + 53108490975.

Almost surely, 2^{112112022221120} is an apocalyptic number.

112112022221120 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 112112022221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141934967539200).

112112022221120 is an abundant number, since it is smaller than the sum of its proper divisors (171757912857280).

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

112112022221120 is a wasteful number, since it uses less digits than its factorization.

112112022221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 112112022221120 its reverse (21122220211211), we get a palindrome (133234242432331).

The spelling of 112112022221120 in words is "one hundred twelve trillion, one hundred twelve billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty".