212211121122 has 384 divisors, whose sum is σ = 643624869888. Its totient is φ = 48755520000.

The previous prime is 212211121079. The next prime is 212211121153. The reversal of 212211121122 is 221121112212.

212211121122 is a `hidden beast` number, since 212 + 211 + 121 + 122 = 666.

212211121122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a junction number, because it is equal to n+sod(n) for n = 212211121095 and 212211121104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44664247 + ... + 44668997.

It is an arithmetic number, because the mean of its divisors is an integer number (1676106432).

Almost surely, 2^212211121122 is an apocalyptic number.

212211121122 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 212211121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321812434944).

212211121122 is an abundant number, since it is smaller than the sum of its proper divisors (431413748766).

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

212211121122 is a wasteful number, since it uses less digits than its factorization.

212211121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 4891 counting only the distinct ones).

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

Adding to 212211121122 its reverse (221121112212), we get a palindrome (433332233334).

It can be divided in two parts, 212211 and 121122, that added together give a palindrome (333333).

The spelling of 212211121122 in words is "two hundred twelve billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty-two".