120224400 has 120 divisors (see below), whose sum is σ = 405465120. Its totient is φ = 30366720.

The previous prime is 120224353. The next prime is 120224437. The reversal of 120224400 is 4422021.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120224400.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20164 + ... + 25436.

It is an arithmetic number, because the mean of its divisors is an integer number (3378876).

Almost surely, 2^120224400 is an apocalyptic number.

120224400 is a gapful number since it is divisible by the number (10) 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 120224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202732560).

120224400 is an abundant number, since it is smaller than the sum of its proper divisors (285240720).

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

120224400 is a wasteful number, since it uses less digits than its factorization.

120224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 120224400 is about 10964.6887780730. The cubic root of 120224400 is about 493.5496778569.

Adding to 120224400 its reverse (4422021), we get a palindrome (124646421).

The spelling of 120224400 in words is "one hundred twenty million, two hundred twenty-four thousand, four hundred".