12120102120112 has 320 divisors, whose sum is σ = 30425000675328. Its totient is φ = 4554620928000.

The previous prime is 12120102120103. The next prime is 12120102120169. The reversal of 12120102120112 is 21102120102121.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 1150892287 + ... + 1150902817.

Almost surely, 2^{12120102120112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120102120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15212500337664).

12120102120112 is an abundant number, since it is smaller than the sum of its proper divisors (18304898555216).

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

12120102120112 is a wasteful number, since it uses less digits than its factorization.

12120102120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11268 (or 11262 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12120102120112 its reverse (21102120102121), we get a palindrome (33222222222233).

The spelling of 12120102120112 in words is "twelve trillion, one hundred twenty billion, one hundred two million, one hundred twenty thousand, one hundred twelve".