43200120 has 64 divisors (see below), whose sum is σ = 130482720. Its totient is φ = 11441664.

The previous prime is 43200109. The next prime is 43200121. The reversal of 43200120 is 2100234.

43200120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 43200096 and 43200105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43200121) 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, 17694 + ... + 19986.

Almost surely, 2^43200120 is an apocalyptic number.

43200120 is a gapful number since it is divisible by the number (40) 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 43200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65241360).

43200120 is an abundant number, since it is smaller than the sum of its proper divisors (87282600).

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

43200120 is a wasteful number, since it uses less digits than its factorization.

43200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 43200120 is about 6572.6798187649. The cubic root of 43200120 is about 350.8824534761.

Adding to 43200120 its reverse (2100234), we get a palindrome (45300354).

The spelling of 43200120 in words is "forty-three million, two hundred thousand, one hundred twenty".