120120448 has 64 divisors (see below), whose sum is σ = 277113600. Its totient is φ = 50798592.

The previous prime is 120120439. The next prime is 120120449. The reversal of 120120448 is 844021021.

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 (120120449) 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, 69936 + ... + 71632.

It is an arithmetic number, because the mean of its divisors is an integer number (4329900).

Almost surely, 2^120120448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138556800).

120120448 is an abundant number, since it is smaller than the sum of its proper divisors (156993152).

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

120120448 is an equidigital number, since it uses as much as digits as its factorization.

120120448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 120120448 is about 10959.9474451295. The cubic root of 120120448 is about 493.4073876332.

Adding to 120120448 its reverse (844021021), we get a palindrome (964141469).

The spelling of 120120448 in words is "one hundred twenty million, one hundred twenty thousand, four hundred forty-eight".