120435040 has 96 divisors (see below), whose sum is σ = 318155040. Its totient is φ = 42700800.

The previous prime is 120435023. The next prime is 120435041. The reversal of 120435040 is 40534021.

It is a junction number, because it is equal to n+sod(n) for n = 120434999 and 120435017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120435041) 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, 71326 + ... + 72994.

It is an arithmetic number, because the mean of its divisors is an integer number (3314115).

Almost surely, 2^120435040 is an apocalyptic number.

120435040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159077520).

120435040 is an abundant number, since it is smaller than the sum of its proper divisors (197720000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120435040 is a wasteful number, since it uses less digits than its factorization.

120435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 120435040 is about 10974.2899542522. The cubic root of 120435040 is about 493.8377520687.

Adding to 120435040 its reverse (40534021), we get a palindrome (160969061).

The spelling of 120435040 in words is "one hundred twenty million, four hundred thirty-five thousand, forty".