2211120112122 has 20 divisors (see below), whose sum is σ = 4954546918266. Its totient is φ = 737040037320.

The previous prime is 2211120112121. The next prime is 2211120112163. The reversal of 2211120112122 is 2212110211122.

It can be written as a sum of positive squares in only one way, i.e., 2063219104881 + 147901007241 = 1436391^2 + 384579^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2211120112095 and 2211120112104.

It is not an unprimeable number, because it can be changed into a prime (2211120112121) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6824444629 + ... + 6824444952.

Almost surely, 2^{2211120112122} is an apocalyptic number.

2211120112122 is an abundant number, since it is smaller than the sum of its proper divisors (2743426806144).

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

2211120112122 is a wasteful number, since it uses less digits than its factorization.

2211120112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13648889595 (or 13648889586 counting only the distinct ones).

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

Adding to 2211120112122 its reverse (2212110211122), we get a palindrome (4423230323244).

The spelling of 2211120112122 in words is "two trillion, two hundred eleven billion, one hundred twenty million, one hundred twelve thousand, one hundred twenty-two".