120917872720 has 80 divisors (see below), whose sum is σ = 286269302592. Its totient is φ = 47490831360.

The previous prime is 120917872573. The next prime is 120917872721. The reversal of 120917872720 is 27278719021.

120917872720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×120917872720² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120917872721) by changing a digit.

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, 1026460 + ... + 1138180.

Almost surely, 2^120917872720 is an apocalyptic number.

120917872720 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 120917872720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143134651296).

120917872720 is an abundant number, since it is smaller than the sum of its proper divisors (165351429872).

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

120917872720 is a wasteful number, since it uses less digits than its factorization.

120917872720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111980 (or 111974 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 46.

The spelling of 120917872720 in words is "one hundred twenty billion, nine hundred seventeen million, eight hundred seventy-two thousand, seven hundred twenty".