120448224 has 144 divisors (see below), whose sum is σ = 376451712. Its totient is φ = 36301824.

The previous prime is 120448193. The next prime is 120448241. The reversal of 120448224 is 422844021.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198129 + ... + 198735.

It is an arithmetic number, because the mean of its divisors is an integer number (2614248).

Almost surely, 2^120448224 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 120448224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188225856).

120448224 is an abundant number, since it is smaller than the sum of its proper divisors (256003488).

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

120448224 is a wasteful number, since it uses less digits than its factorization.

120448224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 120448224 is about 10974.8906144891. The cubic root of 120448224 is about 493.8557715182.

The spelling of 120448224 in words is "one hundred twenty million, four hundred forty-eight thousand, two hundred twenty-four".