120005205 has 16 divisors (see below), whose sum is σ = 192151680. Its totient is φ = 63955008.

The previous prime is 120005201. The next prime is 120005213. The reversal of 120005205 is 502500021.

It is not a de Polignac number, because 120005205 - 2² = 120005201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120005201) 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 15 ways as a sum of consecutive naturals, for example, 28464 + ... + 32406.

It is an arithmetic number, because the mean of its divisors is an integer number (12009480).

Almost surely, 2^120005205 is an apocalyptic number.

120005205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120005205 is a deficient number, since it is larger than the sum of its proper divisors (72146475).

120005205 is a wasteful number, since it uses less digits than its factorization.

120005205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5980.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 120005205 is about 10954.6887221865. The cubic root of 120005205 is about 493.2495462262.

Adding to 120005205 its reverse (502500021), we get a palindrome (622505226).

It can be divided in two parts, 12000 and 5205, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 120005205 in words is "one hundred twenty million, five thousand, two hundred five".