120221184 has 160 divisors (see below), whose sum is σ = 346477824. Its totient is φ = 36945920.

The previous prime is 120221147. The next prime is 120221197. The reversal of 120221184 is 481122021.

It is a super-3 number, since 3×120221184³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120221184.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1448407 + ... + 1448489.

Almost surely, 2^120221184 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 120221184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173238912).

120221184 is an abundant number, since it is smaller than the sum of its proper divisors (226256640).

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

120221184 is an equidigital number, since it uses as much as digits as its factorization.

120221184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 120221184 is about 10964.5421245030. The cubic root of 120221184 is about 493.5452770034.

The spelling of 120221184 in words is "one hundred twenty million, two hundred twenty-one thousand, one hundred eighty-four".