120807 has 12 divisors (see below), whose sum is σ = 180544. Its totient is φ = 77760.

The previous prime is 120779. The next prime is 120811. The reversal of 120807 is 708021.

Added to its reverse (708021) it gives a triangular number (828828 = T₁₂₈₇).

It is not a de Polignac number, because 120807 - 2⁸ = 120551 is a prime.

120807 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 120807.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 120807.

It is not an unprimeable number, because it can be changed into a prime (120817) 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 11 ways as a sum of consecutive naturals, for example, 63 + ... + 495.

2¹²⁰⁸⁰⁷ is an apocalyptic number.

120807 is a deficient number, since it is larger than the sum of its proper divisors (59737).

120807 is a wasteful number, since it uses less digits than its factorization.

120807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 120807 is about 347.5730139122. The cubic root of 120807 is about 49.4345630588.

Adding to 120807 its reverse (708021), we get a palindrome (828828).

The spelling of 120807 in words is "one hundred twenty thousand, eight hundred seven".