212121222122120 has 256 divisors, whose sum is σ = 518732918968320. Its totient is φ = 77759803699200.

The previous prime is 212121222122119. The next prime is 212121222122141. The reversal of 212121222122120 is 21221222121212.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32281418435 + ... + 32281425005.

It is an arithmetic number, because the mean of its divisors is an integer number (2026300464720).

Almost surely, 2^{212121222122120} is an apocalyptic number.

212121222122120 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 212121222122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259366459484160).

212121222122120 is an abundant number, since it is smaller than the sum of its proper divisors (306611696846200).

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

212121222122120 is a wasteful number, since it uses less digits than its factorization.

212121222122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11644 (or 11640 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 212121222122120 its reverse (21221222121212), we get a palindrome (233342444243332).

The spelling of 212121222122120 in words is "two hundred twelve trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".