12102111120 has 160 divisors (see below), whose sum is σ = 41445918720. Its totient is φ = 2896657920.

The previous prime is 12102111101. The next prime is 12102111137. The reversal of 12102111120 is 2111120121.

12102111120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12102111120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12102111096 and 12102111105.

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 31 ways as a sum of consecutive naturals, for example, 179547 + ... + 237573.

It is an arithmetic number, because the mean of its divisors is an integer number (259036992).

Almost surely, 2^12102111120 is an apocalyptic number.

12102111120 is a gapful number since it is divisible by the number (10) 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 12102111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20722959360).

12102111120 is an abundant number, since it is smaller than the sum of its proper divisors (29343807600).

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

12102111120 is a wasteful number, since it uses less digits than its factorization.

12102111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58133 (or 58127 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12102111120 its reverse (2111120121), we get a palindrome (14213231241).

Subtracting from 12102111120 its reverse (2111120121), we obtain a palindrome (9990990999).

The spelling of 12102111120 in words is "twelve billion, one hundred two million, one hundred eleven thousand, one hundred twenty".