112102211111220 has 192 divisors, whose sum is σ = 380528353094400. Its totient is φ = 27171990558720.

The previous prime is 112102211111179. The next prime is 112102211111221. The reversal of 112102211111220 is 22111112201211.

It is a happy number.

112102211111220 is a `hidden beast` number, since 1 + 1 + 210 + 221 + 1 + 1 + 11 + 220 = 666.

112102211111220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×112102211111220³ (a number of 43 digits) contains 333 as substring.

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 = 112102211111193 and 112102211111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112102211111221) 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, 36103312 + ... + 39085208.

It is an arithmetic number, because the mean of its divisors is an integer number (1981918505700).

Almost surely, 2^{112102211111220} is an apocalyptic number.

112102211111220 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 112102211111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190264176547200).

112102211111220 is an abundant number, since it is smaller than the sum of its proper divisors (268426141983180).

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

112102211111220 is a wasteful number, since it uses less digits than its factorization.

112102211111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988255 (or 2988247 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112102211111220 its reverse (22111112201211), we get a palindrome (134213323312431).

The spelling of 112102211111220 in words is "one hundred twelve trillion, one hundred two billion, two hundred eleven million, one hundred eleven thousand, two hundred twenty".