120491600161 has 9 divisors (see below), whose sum is σ = 122237569843. Its totient is φ = 118770237040.

The previous prime is 120491600107. The next prime is 120491600219. The reversal of 120491600161 is 161006194021.

The square root of 120491600161 is 347119.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 84285121761 + 36206478400 = 290319^2 + 190280^2 .

It is not a de Polignac number, because 120491600161 - 2¹¹ = 120491598113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120491600261) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 24643005 + ... + 24647893.

Almost surely, 2^120491600161 is an apocalyptic number.

120491600161 is the 347119-th square number.

120491600161 is the 173560-th centered octagonal number.

It is an amenable number.

120491600161 is a deficient number, since it is larger than the sum of its proper divisors (1745969682).

120491600161 is an frugal number, since it uses more digits than its factorization.

120491600161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9920 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

Adding to 120491600161 its reverse (161006194021), we get a palindrome (281497794182).

The spelling of 120491600161 in words is "one hundred twenty billion, four hundred ninety-one million, six hundred thousand, one hundred sixty-one".