120873352128 has 448 divisors, whose sum is σ = 363419136000. Its totient is φ = 35256139776.

The previous prime is 120873352123. The next prime is 120873352129. The reversal of 120873352128 is 821253378021.

It is a super-2 number, since 2×120873352128² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120873352128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120873352123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 527831118 + ... + 527831346.

Almost surely, 2^120873352128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120873352128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181709568000).

120873352128 is an abundant number, since it is smaller than the sum of its proper divisors (242545783872).

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

120873352128 is a wasteful number, since it uses less digits than its factorization.

120873352128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 120873352128 in words is "one hundred twenty billion, eight hundred seventy-three million, three hundred fifty-two thousand, one hundred twenty-eight".