120219648 has 96 divisors (see below), whose sum is σ = 339655680. Its totient is φ = 37683200.

The previous prime is 120219637. The next prime is 120219661. The reversal of 120219648 is 846912021.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103873 + ... + 105023.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2^120219648 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 120219648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

120219648 is an abundant number, since it is smaller than the sum of its proper divisors (219436032).

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

120219648 is a wasteful number, since it uses less digits than its factorization.

120219648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 120219648 is about 10964.4720803147. The cubic root of 120219648 is about 493.5431750756.

The spelling of 120219648 in words is "one hundred twenty million, two hundred nineteen thousand, six hundred forty-eight".