120223584 has 144 divisors (see below), whose sum is σ = 372323952. Its totient is φ = 36578304.

The previous prime is 120223577. The next prime is 120223601. The reversal of 120223584 is 485322021.

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, 610174 + ... + 610370.

It is an arithmetic number, because the mean of its divisors is an integer number (2585583).

Almost surely, 2^120223584 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 120223584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186161976).

120223584 is an abundant number, since it is smaller than the sum of its proper divisors (252100368).

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

120223584 is a wasteful number, since it uses less digits than its factorization.

120223584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 120223584 is about 10964.6515676514. The cubic root of 120223584 is about 493.5485612299.

The spelling of 120223584 in words is "one hundred twenty million, two hundred twenty-three thousand, five hundred eighty-four".