2111122211112 has 192 divisors, whose sum is σ = 5845482985680. Its totient is φ = 688148545536.

The previous prime is 2111122211101. The next prime is 2111122211113.

It is a happy number.

2111122211112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 1261322163396 + 849800047716 = 1123086^2 + 921846^2 .

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 not an unprimeable number, because it can be changed into a prime (2111122211113) 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, 873446128 + ... + 873448544.

Almost surely, 2^{2111122211112} 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 2111122211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922741492840).

2111122211112 is an abundant number, since it is smaller than the sum of its proper divisors (3734360774568).

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

2111122211112 is a wasteful number, since it uses less digits than its factorization.

2111122211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852 (or 3845 counting only the distinct ones).

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

The spelling of 2111122211112 in words is "two trillion, one hundred eleven billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twelve".