112211022000220 has 192 divisors, whose sum is σ = 278610840668160. Its totient is φ = 37647217670400.

The previous prime is 112211022000127. The next prime is 112211022000221. The reversal of 112211022000220 is 22000220112211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112211022000194 and 112211022000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112211022000221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1029943069 + ... + 1030052011.

It is an arithmetic number, because the mean of its divisors is an integer number (1451098128480).

Almost surely, 2^{112211022000220} is an apocalyptic number.

112211022000220 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 112211022000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139305420334080).

112211022000220 is an abundant number, since it is smaller than the sum of its proper divisors (166399818667940).

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

112211022000220 is a wasteful number, since it uses less digits than its factorization.

112211022000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111133 (or 111105 counting only the distinct ones).

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

Adding to 112211022000220 its reverse (22000220112211), we get a palindrome (134211242112431).

The spelling of 112211022000220 in words is "one hundred twelve trillion, two hundred eleven billion, twenty-two million, two hundred twenty", and thus it is an aban number.