120008593008 has 100 divisors (see below), whose sum is σ = 347642710008. Its totient is φ = 39967966080.

The previous prime is 120008592959. The next prime is 120008593021. The reversal of 120008593008 is 800395800021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1467438 + ... + 1547058.

Almost surely, 2^120008593008 is an apocalyptic number.

120008593008 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 120008593008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173821355004).

120008593008 is an abundant number, since it is smaller than the sum of its proper divisors (227634117000).

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

120008593008 is a wasteful number, since it uses less digits than its factorization.

120008593008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80804 (or 80789 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 120008593008 in words is "one hundred twenty billion, eight million, five hundred ninety-three thousand, eight".