212210122120 has 96 divisors (see below), whose sum is σ = 507699592200. Its totient is φ = 79814008832.

The previous prime is 212210122099. The next prime is 212210122133. The reversal of 212210122120 is 21221012212.

It is a happy number.

212210122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 63678503716 + 148531618404 = 252346^2 + 385398^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212210122094 and 212210122103.

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 23 ways as a sum of consecutive naturals, for example, 12811764 + ... + 12828316.

Almost surely, 2^212210122120 is an apocalyptic number.

212210122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212210122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253849796100).

212210122120 is an abundant number, since it is smaller than the sum of its proper divisors (295489470080).

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

212210122120 is a wasteful number, since it uses less digits than its factorization.

212210122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17707 (or 17686 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212210122120 its reverse (21221012212), we get a palindrome (233431134332).

The spelling of 212210122120 in words is "two hundred twelve billion, two hundred ten million, one hundred twenty-two thousand, one hundred twenty".