212202212120 has 128 divisors (see below), whose sum is σ = 507816345600. Its totient is φ = 79579584000.

The previous prime is 212202212093. The next prime is 212202212141. The reversal of 212202212120 is 21212202212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41597570 + ... + 41602670.

It is an arithmetic number, because the mean of its divisors is an integer number (3967315200).

Almost surely, 2^212202212120 is an apocalyptic number.

212202212120 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 212202212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253908172800).

212202212120 is an abundant number, since it is smaller than the sum of its proper divisors (295614133480).

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

212202212120 is a wasteful number, since it uses less digits than its factorization.

212202212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689 (or 5685 counting only the distinct ones).

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

Adding to 212202212120 its reverse (21212202212), we get a palindrome (233414414332).

The spelling of 212202212120 in words is "two hundred twelve billion, two hundred two million, two hundred twelve thousand, one hundred twenty".