2120111120 has 160 divisors (see below), whose sum is σ = 5280733440. Its totient is φ = 790272000.

The previous prime is 2120111093. The next prime is 2120111153. The reversal of 2120111120 is 211110212.

It is a super-2 number, since 2×2120111120² = 8989742322295308800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10047815 + ... + 10048025.

It is an arithmetic number, because the mean of its divisors is an integer number (33004584).

Almost surely, 2^2120111120 is an apocalyptic number.

2120111120 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 2120111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640366720).

2120111120 is an abundant number, since it is smaller than the sum of its proper divisors (3160622320).

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

2120111120 is a wasteful number, since it uses less digits than its factorization.

2120111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 2120111120 is about 46044.6644031640. The cubic root of 2120111120 is about 1284.6541020168.

Adding to 2120111120 its reverse (211110212), we get a palindrome (2331221332).

The spelling of 2120111120 in words is "two billion, one hundred twenty million, one hundred eleven thousand, one hundred twenty".