241301120 has 64 divisors (see below), whose sum is σ = 582728040. Its totient is φ = 95539200.

The previous prime is 241301089. The next prime is 241301147. The reversal of 241301120 is 21103142.

It can be written as a sum of positive squares in 4 ways, for example, as 236175424 + 5125696 = 15368^2 + 2264^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 241301095 and 241301104.

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 7 ways as a sum of consecutive naturals, for example, 62774 + ... + 66506.

Almost surely, 2^241301120 is an apocalyptic number.

241301120 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 241301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291364020).

241301120 is an abundant number, since it is smaller than the sum of its proper divisors (341426920).

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

241301120 is a wasteful number, since it uses less digits than its factorization.

241301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 241301120 is about 15533.8700908692. The cubic root of 241301120 is about 622.5675007312.

Adding to 241301120 its reverse (21103142), we get a palindrome (262404262).

The spelling of 241301120 in words is "two hundred forty-one million, three hundred one thousand, one hundred twenty".