120066048 has 78 divisors (see below), whose sum is σ = 346921614. Its totient is φ = 40009728.

The previous prime is 120066047. The next prime is 120066071. The reversal of 120066048 is 840660021.

It can be written as a sum of positive squares in only one way, i.e., 115605504 + 4460544 = 10752^2 + 2112^2 .

It is not an unprimeable number, because it can be changed into a prime (120066043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35236 + ... + 38492.

It is an arithmetic number, because the mean of its divisors is an integer number (4447713).

Almost surely, 2^120066048 is an apocalyptic number.

120066048 is a gapful number since it is divisible by the number (18) 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 120066048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173460807).

120066048 is an abundant number, since it is smaller than the sum of its proper divisors (226855566).

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

120066048 is an equidigital number, since it uses as much as digits as its factorization.

120066048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 120066048 is about 10957.4654003561. The cubic root of 120066048 is about 493.3328918103.

The spelling of 120066048 in words is "one hundred twenty million, sixty-six thousand, forty-eight".