120232224 has 144 divisors (see below), whose sum is σ = 407901312. Its totient is φ = 32845824.

The previous prime is 120232219. The next prime is 120232243. The reversal of 120232224 is 422232021.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120232197 and 120232206.

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 23 ways as a sum of consecutive naturals, for example, 45072 + ... + 47664.

It is an arithmetic number, because the mean of its divisors is an integer number (2832648).

Almost surely, 2^120232224 is an apocalyptic number.

120232224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120232224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203950656).

120232224 is an abundant number, since it is smaller than the sum of its proper divisors (287669088).

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

120232224 is a wasteful number, since it uses less digits than its factorization.

120232224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 120232224 is about 10965.0455539409. The cubic root of 120232224 is about 493.5603840833.

Adding to 120232224 its reverse (422232021), we get a palindrome (542464245).

The spelling of 120232224 in words is "one hundred twenty million, two hundred thirty-two thousand, two hundred twenty-four".