120122101002112 has 128 divisors (see below), whose sum is σ = 265964743123200. Its totient is φ = 53581494743040.

The previous prime is 120122101002089. The next prime is 120122101002121. The reversal of 120122101002112 is 211200101221021.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22389564 + ... + 27231172.

It is an arithmetic number, because the mean of its divisors is an integer number (2077849555650).

Almost surely, 2^{120122101002112} 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 120122101002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132982371561600).

120122101002112 is an abundant number, since it is smaller than the sum of its proper divisors (145842642121088).

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

120122101002112 is a wasteful number, since it uses less digits than its factorization.

120122101002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4841964 (or 4841952 counting only the distinct ones).

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

Adding to 120122101002112 its reverse (211200101221021), we get a palindrome (331322202223133).

The spelling of 120122101002112 in words is "one hundred twenty trillion, one hundred twenty-two billion, one hundred one million, two thousand, one hundred twelve".