4432120120 has 128 divisors (see below), whose sum is σ = 10795680000. Its totient is φ = 1632448512.

The previous prime is 4432120111. The next prime is 4432120157. The reversal of 4432120120 is 210212344.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4348971 + ... + 4349989.

It is an arithmetic number, because the mean of its divisors is an integer number (84341250).

Almost surely, 2^4432120120 is an apocalyptic number.

4432120120 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 4432120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397840000).

4432120120 is an abundant number, since it is smaller than the sum of its proper divisors (6363559880).

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

4432120120 is a wasteful number, since it uses less digits than its factorization.

4432120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4432120120 is about 66574.1700661751. The cubic root of 4432120120 is about 1642.6202561172.

Adding to 4432120120 its reverse (210212344), we get a palindrome (4642332464).

The spelling of 4432120120 in words is "four billion, four hundred thirty-two million, one hundred twenty thousand, one hundred twenty".