120010121112112 has 160 divisors (see below), whose sum is σ = 292796059852800. Its totient is φ = 46289308032000.

The previous prime is 120010121112073. The next prime is 120010121112139. The reversal of 120010121112112 is 211211121010021.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1297655089 + ... + 1297747567.

It is an arithmetic number, because the mean of its divisors is an integer number (1829975374080).

Almost surely, 2^{120010121112112} 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 120010121112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146398029926400).

120010121112112 is an abundant number, since it is smaller than the sum of its proper divisors (172785938740688).

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

120010121112112 is a wasteful number, since it uses less digits than its factorization.

120010121112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103035 (or 103029 counting only the distinct ones).

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

Adding to 120010121112112 its reverse (211211121010021), we get a palindrome (331221242122133).

The spelling of 120010121112112 in words is "one hundred twenty trillion, ten billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twelve".