212131201122 has 96 divisors (see below), whose sum is σ = 479495231280. Its totient is φ = 67720665600.

The previous prime is 212131201109. The next prime is 212131201141. The reversal of 212131201122 is 221102131212.

212131201122 is a `hidden beast` number, since 212 + 131 + 201 + 122 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 186761401281 + 25369799841 = 432159^2 + 159279^2 .

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 = 212131201095 and 212131201104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11627904 + ... + 11646132.

Almost surely, 2^212131201122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212131201122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239747615640).

212131201122 is an abundant number, since it is smaller than the sum of its proper divisors (267364030158).

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

212131201122 is a wasteful number, since it uses less digits than its factorization.

212131201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18548 (or 18545 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212131201122 its reverse (221102131212), we get a palindrome (433233332334).

The spelling of 212131201122 in words is "two hundred twelve billion, one hundred thirty-one million, two hundred one thousand, one hundred twenty-two".