2111220221112 has 192 divisors, whose sum is σ = 5969506196160. Its totient is φ = 673447219200.

The previous prime is 2111220221093. The next prime is 2111220221119.

2111220221112 is a `hidden beast` number, since 2 + 111 + 220 + 221 + 112 = 666.

2111220221112 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111220221119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79616368 + ... + 79642880.

It is an arithmetic number, because the mean of its divisors is an integer number (31091178105).

Almost surely, 2^{2111220221112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111220221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984753098080).

2111220221112 is an abundant number, since it is smaller than the sum of its proper divisors (3858285975048).

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

2111220221112 is a wasteful number, since it uses less digits than its factorization.

2111220221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27054 (or 27047 counting only the distinct ones).

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

It can be divided in two parts, 2111220 and 221112, that added together give a palindrome (2332332).

The spelling of 2111220221112 in words is "two trillion, one hundred eleven billion, two hundred twenty million, two hundred twenty-one thousand, one hundred twelve".