118001157120 has 792 divisors, whose sum is σ = 518973257088. Its totient is φ = 24514560000.

The previous prime is 118001157119. The next prime is 118001157143. The reversal of 118001157120 is 21751100811.

118001157120 is a `hidden beast` number, since 1 + 1 + 80 + 0 + 11 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24834745 + ... + 24839495.

It is an arithmetic number, because the mean of its divisors is an integer number (655269264).

Almost surely, 2^118001157120 is an apocalyptic number.

118001157120 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 118001157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259486628544).

118001157120 is an abundant number, since it is smaller than the sum of its proper divisors (400972099968).

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

118001157120 is a wasteful number, since it uses less digits than its factorization.

118001157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4807 (or 4779 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 27.

Adding to 118001157120 its reverse (21751100811), we get a palindrome (139752257931).

The spelling of 118001157120 in words is "one hundred eighteen billion, one million, one hundred fifty-seven thousand, one hundred twenty".