212122202120 has 128 divisors (see below), whose sum is σ = 503016652800. Its totient is φ = 80349325056.

The previous prime is 212122202053. The next prime is 212122202129. The reversal of 212122202120 is 21202221212.

It is a happy number.

212122202120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212122202129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63909821 + ... + 63913139.

It is an arithmetic number, because the mean of its divisors is an integer number (3929817600).

Almost surely, 2^212122202120 is an apocalyptic number.

212122202120 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 212122202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251508326400).

212122202120 is an abundant number, since it is smaller than the sum of its proper divisors (290894450680).

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

212122202120 is a wasteful number, since it uses less digits than its factorization.

212122202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212122202120 its reverse (21202221212), we get a palindrome (233324423332).

The spelling of 212122202120 in words is "two hundred twelve billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty".