120321002112 has 128 divisors (see below), whose sum is σ = 328794878400. Its totient is φ = 38957137920.

The previous prime is 120321002089. The next prime is 120321002167. The reversal of 120321002112 is 211200123021.

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

It is a junction number, because it is equal to n+sod(n) for n = 120321002091 and 120321002100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8787912 + ... + 8801592.

Almost surely, 2^120321002112 is an apocalyptic number.

120321002112 is a gapful number since it is divisible by the number (12) 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 120321002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164397439200).

120321002112 is an abundant number, since it is smaller than the sum of its proper divisors (208473876288).

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

120321002112 is a wasteful number, since it uses less digits than its factorization.

120321002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14354 (or 14342 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120321002112 its reverse (211200123021), we get a palindrome (331521125133).

The spelling of 120321002112 in words is "one hundred twenty billion, three hundred twenty-one million, two thousand, one hundred twelve".