12120102120 has 256 divisors, whose sum is σ = 42698557440. Its totient is φ = 2694601728.

The previous prime is 12120102101. The next prime is 12120102131. The reversal of 12120102120 is 2120102121.

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 = 12120102096 and 12120102105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11088294 + ... + 11089386.

It is an arithmetic number, because the mean of its divisors is an integer number (166791240).

Almost surely, 2^12120102120 is an apocalyptic number.

12120102120 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 12120102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21349278720).

12120102120 is an abundant number, since it is smaller than the sum of its proper divisors (30578455320).

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

12120102120 is a wasteful number, since it uses less digits than its factorization.

12120102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1460 counting only the distinct ones).

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

Adding to 12120102120 its reverse (2120102121), we get a palindrome (14240204241).

Subtracting from 12120102120 its reverse (2120102121), we obtain a palindrome (9999999999).

The spelling of 12120102120 in words is "twelve billion, one hundred twenty million, one hundred two thousand, one hundred twenty".