120800161 has 8 divisors (see below), whose sum is σ = 121954464. Its totient is φ = 119650080.

The previous prime is 120800137. The next prime is 120800221. The reversal of 120800161 is 161008021.

120800161 = 324² + 325² + ... + 734².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120800161 - 2⁹ = 120799649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120800131) 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 7 ways as a sum of consecutive naturals, for example, 92926 + ... + 94216.

It is an arithmetic number, because the mean of its divisors is an integer number (15244308).

Almost surely, 2^120800161 is an apocalyptic number.

It is an amenable number.

120800161 is a deficient number, since it is larger than the sum of its proper divisors (1154303).

120800161 is a wasteful number, since it uses less digits than its factorization.

120800161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111.

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 120800161 is about 10990.9126554622. The cubic root of 120800161 is about 494.3363019517.

Adding to 120800161 its reverse (161008021), we get a palindrome (281808182).

The spelling of 120800161 in words is "one hundred twenty million, eight hundred thousand, one hundred sixty-one".