120755520 has 168 divisors, whose sum is σ = 433645056. Its totient is φ = 30784512.

The previous prime is 120755513. The next prime is 120755561. The reversal of 120755520 is 25557021.

It is a happy number.

It is a super-2 number, since 2×120755520² = 29163791220940800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65329 + ... + 67151.

Almost surely, 2^120755520 is an apocalyptic number.

120755520 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 120755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216822528).

120755520 is an abundant number, since it is smaller than the sum of its proper divisors (312889536).

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

120755520 is a wasteful number, since it uses less digits than its factorization.

120755520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 120755520 is about 10988.8816537444. The cubic root of 120755520 is about 494.2754014099.

The spelling of 120755520 in words is "one hundred twenty million, seven hundred fifty-five thousand, five hundred twenty".