2120112022120 has 256 divisors, whose sum is σ = 5012745756480. Its totient is φ = 806348390400.

The previous prime is 2120112022027. The next prime is 2120112022169. The reversal of 2120112022120 is 212202110212.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 51330339844 + 2068781682276 = 226562^2 + 1438326^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2120112022094 and 2120112022103.

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 63 ways as a sum of consecutive naturals, for example, 5683946254 + ... + 5683946626.

Almost surely, 2^{2120112022120} is an apocalyptic number.

2120112022120 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 2120112022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506372878240).

2120112022120 is an abundant number, since it is smaller than the sum of its proper divisors (2892633734360).

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

2120112022120 is a wasteful number, since it uses less digits than its factorization.

2120112022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 932 counting only the distinct ones).

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

Adding to 2120112022120 its reverse (212202110212), we get a palindrome (2332314132332).

The spelling of 2120112022120 in words is "two trillion, one hundred twenty billion, one hundred twelve million, twenty-two thousand, one hundred twenty".