120405 has 16 divisors (see below), whose sum is σ = 201600. Its totient is φ = 61248.

The previous prime is 120401. The next prime is 120413. The reversal of 120405 is 504021.

It is not a de Polignac number, because 120405 - 2² = 120401 is a prime.

120405 is a modest number, since divided by 405 gives 120 as remainder.

It is a Curzon number.

120405 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171 + ... + 519.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2¹²⁰⁴⁰⁵ is an apocalyptic number.

120405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120405 is a deficient number, since it is larger than the sum of its proper divisors (81195).

120405 is a wasteful number, since it uses less digits than its factorization.

120405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380.

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 120405 is about 346.9942362634. The cubic root of 120405 is about 49.3796689491.

Adding to 120405 its reverse (504021), we get a palindrome (624426).

It can be divided in two parts, 120 and 405, that added together give a palindrome (525).

The spelling of 120405 in words is "one hundred twenty thousand, four hundred five".