120010020000112 has 80 divisors (see below), whose sum is σ = 262445599594080. Its totient is φ = 52660695628800.

The previous prime is 120010020000023. The next prime is 120010020000119. The reversal of 120010020000112 is 211000020010021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120010020000119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30683062 + ... + 34372522.

It is an arithmetic number, because the mean of its divisors is an integer number (3280569994926).

Almost surely, 2^{120010020000112} 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 120010020000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131222799797040).

120010020000112 is an abundant number, since it is smaller than the sum of its proper divisors (142435579593968).

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

120010020000112 is a wasteful number, since it uses less digits than its factorization.

120010020000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695882 (or 3695876 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120010020000112 its reverse (211000020010021), we get a palindrome (331010040010133).

Subtracting 120010020000112 from its reverse (211000020010021), we obtain a palindrome (90990000009909).

It can be divided in two parts, 1200100 and 20000112, that added together give a palindrome (21200212).

The spelling of 120010020000112 in words is "one hundred twenty trillion, ten billion, twenty million, one hundred twelve", and thus it is an aban number.