241122024 has 144 divisors (see below), whose sum is σ = 773381700. Its totient is φ = 67415040.

The previous prime is 241122023. The next prime is 241122043. The reversal of 241122024 is 420221142.

It can be written as a sum of positive squares in 2 ways, for example, as 216619524 + 24502500 = 14718^2 + 4950^2 .

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 = 241121988 and 241122006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241122023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112192 + ... + 114320.

Almost surely, 2^241122024 is an apocalyptic number.

241122024 is a gapful number since it is divisible by the number (24) 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 241122024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386690850).

241122024 is an abundant number, since it is smaller than the sum of its proper divisors (532259676).

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

241122024 is a wasteful number, since it uses less digits than its factorization.

241122024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 241122024 is about 15528.1043273157. The cubic root of 241122024 is about 622.4134374240.

Adding to 241122024 its reverse (420221142), we get a palindrome (661343166).

It can be divided in two parts, 241 and 122024, that added together give a triangular number (122265 = T₄₉₄).

The spelling of 241122024 in words is "two hundred forty-one million, one hundred twenty-two thousand, twenty-four".