12000220211112 has 768 divisors, whose sum is σ = 39430379681280. Its totient is φ = 3019471257600.

The previous prime is 12000220211107. The next prime is 12000220211131. The reversal of 12000220211112 is 21111202200021.

12000220211112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12000220211091 and 12000220211100.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2153275558 + ... + 2153281130.

It is an arithmetic number, because the mean of its divisors is an integer number (51341640210).

Almost surely, 2^{12000220211112} is an apocalyptic number.

12000220211112 is a gapful number since it is divisible by the number (12) 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 12000220211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19715189840640).

12000220211112 is an abundant number, since it is smaller than the sum of its proper divisors (27430159470168).

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

12000220211112 is a wasteful number, since it uses less digits than its factorization.

12000220211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5762 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12000220211112 its reverse (21111202200021), we get a palindrome (33111422411133).

The spelling of 12000220211112 in words is "twelve trillion, two hundred twenty million, two hundred eleven thousand, one hundred twelve".