112211220110220 has 576 divisors, whose sum is σ = 425594039270400. Its totient is φ = 23249048094720.

The previous prime is 112211220110191. The next prime is 112211220110263. The reversal of 112211220110220 is 22011022112211.

112211220110220 is a `hidden beast` number, since 1 + 1 + 2 + 211 + 220 + 1 + 10 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112211220110193 and 112211220110202.

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 191 ways as a sum of consecutive naturals, for example, 6914233066 + ... + 6914249294.

It is an arithmetic number, because the mean of its divisors is an integer number (738878540400).

Almost surely, 2^{112211220110220} is an apocalyptic number.

112211220110220 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 112211220110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212797019635200).

112211220110220 is an abundant number, since it is smaller than the sum of its proper divisors (313382819160180).

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

112211220110220 is a wasteful number, since it uses less digits than its factorization.

112211220110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17678 (or 17673 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112211220110220 its reverse (22011022112211), we get a palindrome (134222242222431).

The spelling of 112211220110220 in words is "one hundred twelve trillion, two hundred eleven billion, two hundred twenty million, one hundred ten thousand, two hundred twenty".