120047805360 has 480 divisors, whose sum is σ = 479925568512. Its totient is φ = 26318960640.

The previous prime is 120047805341. The next prime is 120047805419. The reversal of 120047805360 is 63508740021.

120047805360 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 47 + 80 + 536 + 0 = 666.

It is a super-2 number, since 2×120047805360² (a number of 23 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 13235547 + ... + 13244613.

Almost surely, 2^120047805360 is an apocalyptic number.

120047805360 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 120047805360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239962784256).

120047805360 is an abundant number, since it is smaller than the sum of its proper divisors (359877763152).

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

120047805360 is a wasteful number, since it uses less digits than its factorization.

120047805360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9201 (or 9192 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 120047805360 in words is "one hundred twenty billion, forty-seven million, eight hundred five thousand, three hundred sixty".