2211122120112 has 320 divisors, whose sum is σ = 6542829803520. Its totient is φ = 723623362560.

The previous prime is 2211122120111. The next prime is 2211122120117. The reversal of 2211122120112 is 2110212211122.

2211122120112 is a `hidden beast` number, since 221 + 11 + 221 + 201 + 12 = 666.

It is a super-2 number, since 2×2211122120112² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2211122120111) 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, 638497293 + ... + 638500755.

It is an arithmetic number, because the mean of its divisors is an integer number (20446343136).

Almost surely, 2^{2211122120112} 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 2211122120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271414901760).

2211122120112 is an abundant number, since it is smaller than the sum of its proper divisors (4331707683408).

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

2211122120112 is an equidigital number, since it uses as much as digits as its factorization.

2211122120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820 (or 3796 counting only the distinct ones).

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

Adding to 2211122120112 its reverse (2110212211122), we get a palindrome (4321334331234).

The spelling of 2211122120112 in words is "two trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twelve".