2121122222120 has 256 divisors, whose sum is σ = 5319469532160. Its totient is φ = 761080320000.

The previous prime is 2121122222111. The next prime is 2121122222171. The reversal of 2121122222120 is 212222211212.

2121122222120 is digitally balanced in base 12, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

2121122222120 is strictly pandigital in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2121122222092 and 2121122222101.

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, 2328344465 + ... + 2328345375.

It is an arithmetic number, because the mean of its divisors is an integer number (20779177860).

Almost surely, 2^{2121122222120} is an apocalyptic number.

2121122222120 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 2121122222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659734766080).

2121122222120 is an abundant number, since it is smaller than the sum of its proper divisors (3198347310040).

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

2121122222120 is a wasteful number, since it uses less digits than its factorization.

2121122222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2121122222120 its reverse (212222211212), we get a palindrome (2333344433332).

The spelling of 2121122222120 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".