2122120120120 has 384 divisors, whose sum is σ = 6684551697600. Its totient is φ = 595665100800.

The previous prime is 2122120120069. The next prime is 2122120120121. The reversal of 2122120120120 is 210210212212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2122120120094 and 2122120120103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122120120121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11399146 + ... + 11583814.

Almost surely, 2^{2122120120120} is an apocalyptic number.

2122120120120 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 2122120120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342275848800).

2122120120120 is an abundant number, since it is smaller than the sum of its proper divisors (4562431577480).

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

2122120120120 is a wasteful number, since it uses less digits than its factorization.

2122120120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184759 (or 184748 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2122120120120 its reverse (210210212212), we get a palindrome (2332330332332).

The spelling of 2122120120120 in words is "two trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twenty thousand, one hundred twenty".