241530120 has 128 divisors (see below), whose sum is σ = 867081600. Its totient is φ = 59450112.

The previous prime is 241530089. The next prime is 241530127. The reversal of 241530120 is 21035142.

241530120 = T₃₃₁ + T₃₃₂ + ... + T₁₁₄₀.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 241530093 and 241530102.

It is not an unprimeable number, because it can be changed into a prime (241530127) 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 31 ways as a sum of consecutive naturals, for example, 5439 + ... + 22641.

It is an arithmetic number, because the mean of its divisors is an integer number (6774075).

Almost surely, 2^241530120 is an apocalyptic number.

241530120 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 241530120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433540800).

241530120 is an abundant number, since it is smaller than the sum of its proper divisors (625551480).

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

241530120 is a wasteful number, since it uses less digits than its factorization.

241530120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17236 (or 17226 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 241530120 is about 15541.2393328203. The cubic root of 241530120 is about 622.7643818196.

Adding to 241530120 its reverse (21035142), we get a palindrome (262565262).

The spelling of 241530120 in words is "two hundred forty-one million, five hundred thirty thousand, one hundred twenty".