120984756288 has 224 divisors, whose sum is σ = 368027712000. Its totient is φ = 34690682880.

The previous prime is 120984756287. The next prime is 120984756293. The reversal of 120984756288 is 882657489021.

It is a super-2 number, since 2×120984756288² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120984756287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51723823 + ... + 51726161.

Almost surely, 2^120984756288 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 120984756288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184013856000).

120984756288 is an abundant number, since it is smaller than the sum of its proper divisors (247042955712).

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

120984756288 is a wasteful number, since it uses less digits than its factorization.

120984756288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 60.

The spelling of 120984756288 in words is "one hundred twenty billion, nine hundred eighty-four million, seven hundred fifty-six thousand, two hundred eighty-eight".