12211112110120 has 768 divisors, whose sum is σ = 37427723550720. Its totient is φ = 3480938496000.

The previous prime is 12211112110117. The next prime is 12211112110123. The reversal of 12211112110120 is 2101121111221.

It is an interprime number because it is at equal distance from previous prime (12211112110117) and next prime (12211112110123).

It is a super-2 number, since 2×12211112110120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211112110094 and 12211112110103.

It is not an unprimeable number, because it can be changed into a prime (12211112110123) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6317180674 + ... + 6317182606.

It is an arithmetic number, because the mean of its divisors is an integer number (48734015040).

Almost surely, 2^{12211112110120} is an apocalyptic number.

12211112110120 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 12211112110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18713861775360).

12211112110120 is an abundant number, since it is smaller than the sum of its proper divisors (25216611440600).

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

12211112110120 is a wasteful number, since it uses less digits than its factorization.

12211112110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2173 counting only the distinct ones).

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

Adding to 12211112110120 its reverse (2101121111221), we get a palindrome (14312233221341).

The spelling of 12211112110120 in words is "twelve trillion, two hundred eleven billion, one hundred twelve million, one hundred ten thousand, one hundred twenty".