12310102120 has 128 divisors (see below), whose sum is σ = 29295302400. Its totient is φ = 4648806400.

The previous prime is 12310102117. The next prime is 12310102121. The reversal of 12310102120 is 2120101321.

12310102120 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 2×12310102120² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12310102120.

It is not an unprimeable number, because it can be changed into a prime (12310102121) by changing a digit.

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, 11282775 + ... + 11283865.

It is an arithmetic number, because the mean of its divisors is an integer number (228869550).

Almost surely, 2^12310102120 is an apocalyptic number.

12310102120 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 12310102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14647651200).

12310102120 is an abundant number, since it is smaller than the sum of its proper divisors (16985200280).

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

12310102120 is a wasteful number, since it uses less digits than its factorization.

12310102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12310102120 its reverse (2120101321), we get a palindrome (14430203441).

The spelling of 12310102120 in words is "twelve billion, three hundred ten million, one hundred two thousand, one hundred twenty".