212122213120 has 72 divisors (see below), whose sum is σ = 508488251040. Its totient is φ = 84783882240.

The previous prime is 212122213109. The next prime is 212122213129. The reversal of 212122213120 is 21312221212.

212122213120 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 (212122213129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1625500 + ... + 1751140.

It is an arithmetic number, because the mean of its divisors is an integer number (7062336820).

Almost surely, 2^212122213120 is an apocalyptic number.

212122213120 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 212122213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254244125520).

212122213120 is an abundant number, since it is smaller than the sum of its proper divisors (296366037920).

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

212122213120 is a wasteful number, since it uses less digits than its factorization.

212122213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126981 (or 126967 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 212122213120 its reverse (21312221212), we get a palindrome (233434434332).

The spelling of 212122213120 in words is "two hundred twelve billion, one hundred twenty-two million, two hundred thirteen thousand, one hundred twenty".