120616327680 has 320 divisors, whose sum is σ = 415358558208. Its totient is φ = 29772103680.

The previous prime is 120616327669. The next prime is 120616327681. The reversal of 120616327680 is 86723616021.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (120616327681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5464827 + ... + 5486853.

Almost surely, 2^120616327680 is an apocalyptic number.

120616327680 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 120616327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207679279104).

120616327680 is an abundant number, since it is smaller than the sum of its proper divisors (294742230528).

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

120616327680 is a wasteful number, since it uses less digits than its factorization.

120616327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22107 (or 22091 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 120616327680 in words is "one hundred twenty billion, six hundred sixteen million, three hundred twenty-seven thousand, six hundred eighty".