120728744960 has 176 divisors, whose sum is σ = 308011041936. Its totient is φ = 45248151552.

The previous prime is 120728744957. The next prime is 120728744971. The reversal of 120728744960 is 69447827021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 20892967936 + 99835777024 = 144544^2 + 315968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120728744899 and 120728744908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20277344 + ... + 20283296.

Almost surely, 2^120728744960 is an apocalyptic number.

120728744960 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 120728744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154005520968).

120728744960 is an abundant number, since it is smaller than the sum of its proper divisors (187282296976).

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

120728744960 is a wasteful number, since it uses less digits than its factorization.

120728744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6228 (or 6210 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 50.

The spelling of 120728744960 in words is "one hundred twenty billion, seven hundred twenty-eight million, seven hundred forty-four thousand, nine hundred sixty".