120540240 has 240 divisors, whose sum is σ = 438721920. Its totient is φ = 29568000.

The previous prime is 120540239. The next prime is 120540253. The reversal of 120540240 is 42045021.

120540240 is a `hidden beast` number, since 120 + 540 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 480115 + ... + 480365.

It is an arithmetic number, because the mean of its divisors is an integer number (1828008).

Almost surely, 2^120540240 is an apocalyptic number.

120540240 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 120540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960).

120540240 is an abundant number, since it is smaller than the sum of its proper divisors (318181680).

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

120540240 is a wasteful number, since it uses less digits than its factorization.

120540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 120540240 is about 10979.0819288318. The cubic root of 120540240 is about 493.9814993044.

Adding to 120540240 its reverse (42045021), we get a palindrome (162585261).

The spelling of 120540240 in words is "one hundred twenty million, five hundred forty thousand, two hundred forty".