120518553288 has 288 divisors, whose sum is σ = 391687812000. Its totient is φ = 30700809216.

The previous prime is 120518553283. The next prime is 120518553313. The reversal of 120518553288 is 882355815021.

It is a super-3 number, since 3×120518553288³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (120518553283) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7208763 + ... + 7225461.

It is an arithmetic number, because the mean of its divisors is an integer number (1360027125).

Almost surely, 2^120518553288 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 120518553288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195843906000).

120518553288 is an abundant number, since it is smaller than the sum of its proper divisors (271169258712).

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

120518553288 is a wasteful number, since it uses less digits than its factorization.

120518553288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16777 (or 16747 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 48.

The spelling of 120518553288 in words is "one hundred twenty billion, five hundred eighteen million, five hundred fifty-three thousand, two hundred eighty-eight".