120430144000 has 320 divisors, whose sum is σ = 308228263200. Its totient is φ = 46920499200.

The previous prime is 120430143947. The next prime is 120430144007. The reversal of 120430144000 is 441034021.

It can be written as a sum of positive squares in 16 ways, for example, as 2940242176 + 117489901824 = 54224^2 + 342768^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (120430144007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 696127914 + ... + 696128086.

Almost surely, 2^120430144000 is an apocalyptic number.

120430144000 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 120430144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154114131600).

120430144000 is an abundant number, since it is smaller than the sum of its proper divisors (187798119200).

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

120430144000 is an equidigital number, since it uses as much as digits as its factorization.

120430144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 402 counting only the distinct ones).

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

Adding to 120430144000 its reverse (441034021), we get a palindrome (120871178021).

The spelling of 120430144000 in words is "one hundred twenty billion, four hundred thirty million, one hundred forty-four thousand".