2121112012120 has 32 divisors (see below), whose sum is σ = 4888904519520. Its totient is φ = 827751028480.

The previous prime is 2121112012043. The next prime is 2121112012169. The reversal of 2121112012120 is 212102111212.

It is a junction number, because it is equal to n+sod(n) for n = 2121112012094 and 2121112012103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 646678852 + ... + 646682131.

It is an arithmetic number, because the mean of its divisors is an integer number (152778266235).

Almost surely, 2^{2121112012120} is an apocalyptic number.

2121112012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121112012120 is an abundant number, since it is smaller than the sum of its proper divisors (2767792507400).

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

2121112012120 is a wasteful number, since it uses less digits than its factorization.

2121112012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293361035 (or 1293361031 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2121112012120 its reverse (212102111212), we get a palindrome (2333214123332).

The spelling of 2121112012120 in words is "two trillion, one hundred twenty-one billion, one hundred twelve million, twelve thousand, one hundred twenty".