120538752 has 64 divisors (see below), whose sum is σ = 323870400. Its totient is φ = 39716864.

The previous prime is 120538751. The next prime is 120538783. The reversal of 120538752 is 257835021.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (120538751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32413 + ... + 35939.

It is an arithmetic number, because the mean of its divisors is an integer number (5060475).

Almost surely, 2^120538752 is an apocalyptic number.

120538752 is a gapful number since it is divisible by the number (12) 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 120538752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161935200).

120538752 is an abundant number, since it is smaller than the sum of its proper divisors (203331648).

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

120538752 is an equidigital number, since it uses as much as digits as its factorization.

120538752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 120538752 is about 10979.0141633937. The cubic root of 120538752 is about 493.9794666568.

The spelling of 120538752 in words is "one hundred twenty million, five hundred thirty-eight thousand, seven hundred fifty-two".