112000111002220 has 384 divisors, whose sum is σ = 295519392645120. Its totient is φ = 34765645824000.

The previous prime is 112000111002217. The next prime is 112000111002223. The reversal of 112000111002220 is 22200111000211.

It is an interprime number because it is at equal distance from previous prime (112000111002217) and next prime (112000111002223).

It is a self number, because there is not a number n which added to its sum of digits gives 112000111002220.

It is not an unprimeable number, because it can be changed into a prime (112000111002223) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26471307505 + ... + 26471311735.

It is an arithmetic number, because the mean of its divisors is an integer number (769581751680).

Almost surely, 2^{112000111002220} is an apocalyptic number.

112000111002220 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 112000111002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147759696322560).

112000111002220 is an abundant number, since it is smaller than the sum of its proper divisors (183519281642900).

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

112000111002220 is a wasteful number, since it uses less digits than its factorization.

112000111002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5625 (or 5623 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112000111002220 its reverse (22200111000211), we get a palindrome (134200222002431).

The spelling of 112000111002220 in words is "one hundred twelve trillion, one hundred eleven million, two thousand, two hundred twenty".