120442320120 has 512 divisors, whose sum is σ = 411673881600. Its totient is φ = 28009562112.

The previous prime is 120442320077. The next prime is 120442320121. The reversal of 120442320120 is 21023244021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120442320121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 468647032 + ... + 468647288.

It is an arithmetic number, because the mean of its divisors is an integer number (804050550).

Almost surely, 2^120442320120 is an apocalyptic number.

120442320120 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 120442320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205836940800).

120442320120 is an abundant number, since it is smaller than the sum of its proper divisors (291231561480).

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

120442320120 is a wasteful number, since it uses less digits than its factorization.

120442320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 120442320120 its reverse (21023244021), we get a palindrome (141465564141).

The spelling of 120442320120 in words is "one hundred twenty billion, four hundred forty-two million, three hundred twenty thousand, one hundred twenty".