120036224 has 128 divisors (see below), whose sum is σ = 314323200. Its totient is φ = 44236800.

The previous prime is 120036211. The next prime is 120036229. The reversal of 120036224 is 422630021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 120036196 and 120036205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120036229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186944 + ... + 187584.

It is an arithmetic number, because the mean of its divisors is an integer number (2455650).

Almost surely, 2^120036224 is an apocalyptic number.

120036224 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 120036224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157161600).

120036224 is an abundant number, since it is smaller than the sum of its proper divisors (194286976).

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

120036224 is a wasteful number, since it uses less digits than its factorization.

120036224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 120036224 is about 10956.1044171731. The cubic root of 120036224 is about 493.2920410208.

Adding to 120036224 its reverse (422630021), we get a palindrome (542666245).

The spelling of 120036224 in words is "one hundred twenty million, thirty-six thousand, two hundred twenty-four".