242401331120 has 160 divisors (see below), whose sum is σ = 615813918720. Its totient is φ = 88197258240.

The previous prime is 242401331077. The next prime is 242401331141. The reversal of 242401331120 is 21133104242.

242401331120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46910777 + ... + 46915943.

It is an arithmetic number, because the mean of its divisors is an integer number (3848836992).

Almost surely, 2^242401331120 is an apocalyptic number.

242401331120 is a gapful number since it is divisible by the number (20) 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 242401331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307906959360).

242401331120 is an abundant number, since it is smaller than the sum of its proper divisors (373412587600).

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

242401331120 is a wasteful number, since it uses less digits than its factorization.

242401331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5843 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 242401331120 its reverse (21133104242), we get a palindrome (263534435362).

The spelling of 242401331120 in words is "two hundred forty-two billion, four hundred one million, three hundred thirty-one thousand, one hundred twenty".