120320722787328 has 528 divisors, whose sum is σ = 399886230481920. Its totient is φ = 34132727365632.

The previous prime is 120320722787261. The next prime is 120320722787371. The reversal of 120320722787328 is 823787227023021.

120320722787328 is a `hidden beast` number, since 1 + 2 + 0 + 320 + 7 + 227 + 8 + 73 + 28 = 666.

It is a super-3 number, since 3×120320722787328³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10267143453 + ... + 10267155171.

Almost surely, 2^{120320722787328} is an apocalyptic number.

120320722787328 is a gapful number since it is divisible by the number (18) 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 120320722787328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199943115240960).

120320722787328 is an abundant number, since it is smaller than the sum of its proper divisors (279565507694592).

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

120320722787328 is a wasteful number, since it uses less digits than its factorization.

120320722787328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12872 (or 12851 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 120320722787328 in words is "one hundred twenty trillion, three hundred twenty billion, seven hundred twenty-two million, seven hundred eighty-seven thousand, three hundred twenty-eight".