2211112111122 has 48 divisors (see below), whose sum is σ = 5049901584000. Its totient is φ = 697274717472.

The previous prime is 2211112111097. The next prime is 2211112111127.

It is a happy number.

2211112111122 is a `hidden beast` number, since 221 + 111 + 211 + 1 + 122 = 666.

2211112111122 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 nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2211112111095 and 2211112111104.

It is not an unprimeable number, because it can be changed into a prime (2211112111127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4250097 + ... + 4741892.

It is an arithmetic number, because the mean of its divisors is an integer number (105206283000).

Almost surely, 2^{2211112111122} is an apocalyptic number.

2211112111122 is an abundant number, since it is smaller than the sum of its proper divisors (2838789472878).

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

2211112111122 is a wasteful number, since it uses less digits than its factorization.

2211112111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8992735 (or 8992732 counting only the distinct ones).

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

The spelling of 2211112111122 in words is "two trillion, two hundred eleven billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty-two".