12102210012120 has 128 divisors (see below), whose sum is σ = 36576152121600. Its totient is φ = 3203309062656.

The previous prime is 12102210012097. The next prime is 12102210012187. The reversal of 12102210012120 is 2121001220121.

12102210012120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12102210012120.

It is a congruent number.

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, 75263247 + ... + 75423873.

It is an arithmetic number, because the mean of its divisors is an integer number (285751188450).

Almost surely, 2^{12102210012120} is an apocalyptic number.

12102210012120 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 12102210012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18288076060800).

12102210012120 is an abundant number, since it is smaller than the sum of its proper divisors (24473942109480).

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

12102210012120 is a wasteful number, since it uses less digits than its factorization.

12102210012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165297 (or 165293 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12102210012120 its reverse (2121001220121), we get a palindrome (14223211232241).

The spelling of 12102210012120 in words is "twelve trillion, one hundred two billion, two hundred ten million, twelve thousand, one hundred twenty".