212011111111122 has 128 divisors (see below), whose sum is σ = 502146333262080. Its totient is φ = 66073936481280.

The previous prime is 212011111111109. The next prime is 212011111111153. The reversal of 212011111111122 is 221111111110212.

It is a super-2 number, since 2×212011111111122² (a number of 29 digits) contains 22 as substring.

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 = 212011111111095 and 212011111111104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 613948273 + ... + 614293499.

It is an arithmetic number, because the mean of its divisors is an integer number (3923018228610).

Almost surely, 2^{212011111111122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212011111111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251073166631040).

212011111111122 is an abundant number, since it is smaller than the sum of its proper divisors (290135222150958).

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

212011111111122 is a wasteful number, since it uses less digits than its factorization.

212011111111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349673 (or 349667 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 212011111111122 its reverse (221111111110212), we get a palindrome (433122222221334).

The spelling of 212011111111122 in words is "two hundred twelve trillion, eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty-two".