2111622261112 has 288 divisors, whose sum is σ = 5148587858400. Its totient is φ = 789705842688.

The previous prime is 2111622261071. The next prime is 2111622261113.

2111622261112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111622261113) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15413301108 + ... + 15413301244.

It is an arithmetic number, because the mean of its divisors is an integer number (17877041175).

Almost surely, 2^{2111622261112} 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 2111622261112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574293929200).

2111622261112 is an abundant number, since it is smaller than the sum of its proper divisors (3036965597288).

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

2111622261112 is a wasteful number, since it uses less digits than its factorization.

2111622261112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 261 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The spelling of 2111622261112 in words is "two trillion, one hundred eleven billion, six hundred twenty-two million, two hundred sixty-one thousand, one hundred twelve".