212110020211122 has 128 divisors (see below), whose sum is σ = 519235225067520. Its totient is φ = 63647212821120.

The previous prime is 212110020211049. The next prime is 212110020211129. The reversal of 212110020211122 is 221112020011212.

212110020211122 is a `hidden beast` number, since 212 + 1 + 100 + 20 + 211 + 122 = 666.

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 = 212110020211095 and 212110020211104.

It is not an unprimeable number, because it can be changed into a prime (212110020211129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 918654663 + ... + 918885525.

It is an arithmetic number, because the mean of its divisors is an integer number (4056525195840).

Almost surely, 2^{212110020211122} is an apocalyptic number.

212110020211122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212110020211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259617612533760).

212110020211122 is an abundant number, since it is smaller than the sum of its proper divisors (307125204856398).

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

212110020211122 is a wasteful number, since it uses less digits than its factorization.

212110020211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246005 (or 245999 counting only the distinct ones).

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

Adding to 212110020211122 its reverse (221112020011212), we get a palindrome (433222040222334).

The spelling of 212110020211122 in words is "two hundred twelve trillion, one hundred ten billion, twenty million, two hundred eleven thousand, one hundred twenty-two".