120333313120 has 96 divisors (see below), whose sum is σ = 289388816640. Its totient is φ = 47271206400.

The previous prime is 120333313109. The next prime is 120333313189. The reversal of 120333313120 is 21313333021.

It is a junction number, because it is equal to n+sod(n) for n = 120333313091 and 120333313100.

It is a congruent number.

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, 10595445 + ... + 10606795.

It is an arithmetic number, because the mean of its divisors is an integer number (3014466840).

Almost surely, 2^120333313120 is an apocalyptic number.

120333313120 is a gapful number since it is divisible by the number (10) 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 120333313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144694408320).

120333313120 is an abundant number, since it is smaller than the sum of its proper divisors (169055503520).

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

120333313120 is a wasteful number, since it uses less digits than its factorization.

120333313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12548 (or 12540 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 120333313120 its reverse (21313333021), we get a palindrome (141646646141).

The spelling of 120333313120 in words is "one hundred twenty billion, three hundred thirty-three million, three hundred thirteen thousand, one hundred twenty".