120005776 has 80 divisors (see below), whose sum is σ = 263786688. Its totient is φ = 52416000.

The previous prime is 120005761. The next prime is 120005779. The reversal of 120005776 is 677500021.

It is not an unprimeable number, because it can be changed into a prime (120005779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 764290 + ... + 764446.

Almost surely, 2^120005776 is an apocalyptic number.

120005776 is a gapful number since it is divisible by the number (16) 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 120005776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131893344).

120005776 is an abundant number, since it is smaller than the sum of its proper divisors (143780912).

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

120005776 is a wasteful number, since it uses less digits than its factorization.

120005776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 120005776 is about 10954.7147840553. The cubic root of 120005776 is about 493.2503285396.

Adding to 120005776 its reverse (677500021), we get a palindrome (797505797).

The spelling of 120005776 in words is "one hundred twenty million, five thousand, seven hundred seventy-six".