120355587072 has 704 divisors, whose sum is σ = 435926499840. Its totient is φ = 32020365312.

The previous prime is 120355587061. The next prime is 120355587091. The reversal of 120355587072 is 270785553021.

120355587072 is a `hidden beast` number, since 1 + 20 + 3 + 5 + 558 + 7 + 0 + 72 = 666.

120355587072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 516547468 + ... + 516547700.

Almost surely, 2^120355587072 is an apocalyptic number.

120355587072 is a gapful number since it is divisible by the number (12) 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 120355587072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217963249920).

120355587072 is an abundant number, since it is smaller than the sum of its proper divisors (315570912768).

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

120355587072 is a wasteful number, since it uses less digits than its factorization.

120355587072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 120355587072 in words is "one hundred twenty billion, three hundred fifty-five million, five hundred eighty-seven thousand, seventy-two".