112000220221120 has 672 divisors, whose sum is σ = 350503957278720. Its totient is φ = 33332928921600.

The previous prime is 112000220221031. The next prime is 112000220221171. The reversal of 112000220221120 is 21122022000211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 112000220221094 and 112000220221103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 522186861 + ... + 522401299.

It is an arithmetic number, because the mean of its divisors is an integer number (521583269760).

Almost surely, 2^{112000220221120} is an apocalyptic number.

112000220221120 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 112000220221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175251978639360).

112000220221120 is an abundant number, since it is smaller than the sum of its proper divisors (238503737057600).

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

112000220221120 is a wasteful number, since it uses less digits than its factorization.

112000220221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214573 (or 214552 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112000220221120 its reverse (21122022000211), we get a palindrome (133122242221331).

The spelling of 112000220221120 in words is "one hundred twelve trillion, two hundred twenty million, two hundred twenty-one thousand, one hundred twenty".