120735 has 12 divisors (see below), whose sum is σ = 209352. Its totient is φ = 64368.

The previous prime is 120721. The next prime is 120737. The reversal of 120735 is 537021.

It is not a de Polignac number, because 120735 - 2⁶ = 120671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120737) 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, 1297 + ... + 1386.

It is an arithmetic number, because the mean of its divisors is an integer number (17446).

2¹²⁰⁷³⁵ is an apocalyptic number.

120735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

120735 is a deficient number, since it is larger than the sum of its proper divisors (88617).

120735 is a wasteful number, since it uses less digits than its factorization.

120735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 120735 is about 347.4694231152. The cubic root of 120735 is about 49.4247402398.

Adding to 120735 its reverse (537021), we get a palindrome (657756).

It can be divided in two parts, 1 and 20735, that added together give a 4-th power (20736 = 12⁴).

The spelling of 120735 in words is "one hundred twenty thousand, seven hundred thirty-five".