12102210120 has 768 divisors, whose sum is σ = 51089875200. Its totient is φ = 2252759040.

The previous prime is 12102210119. The next prime is 12102210143. The reversal of 12102210120 is 2101220121.

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 = 12102210096 and 12102210105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31110886 + ... + 31111274.

It is an arithmetic number, because the mean of its divisors is an integer number (66523275).

Almost surely, 2^12102210120 is an apocalyptic number.

12102210120 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 12102210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25544937600).

12102210120 is an abundant number, since it is smaller than the sum of its proper divisors (38987665080).

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

12102210120 is a wasteful number, since it uses less digits than its factorization.

12102210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12102210120 its reverse (2101220121), we get a palindrome (14203430241).

It can be divided in two parts, 12102 and 210120, that added together give a palindrome (222222).

The spelling of 12102210120 in words is "twelve billion, one hundred two million, two hundred ten thousand, one hundred twenty".