242124304224 has 48 divisors (see below), whose sum is σ = 693355965120. Its totient is φ = 73371000960.

The previous prime is 242124304199. The next prime is 242124304259. The reversal of 242124304224 is 422403421242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×242124304224² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242124304191 and 242124304200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114641134 + ... + 114643245.

It is an arithmetic number, because the mean of its divisors is an integer number (14444915940).

Almost surely, 2^242124304224 is an apocalyptic number.

242124304224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242124304224 is an abundant number, since it is smaller than the sum of its proper divisors (451231660896).

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

242124304224 is a wasteful number, since it uses less digits than its factorization.

242124304224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229284403 (or 229284395 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 242124304224 its reverse (422403421242), we get a palindrome (664527725466).

The spelling of 242124304224 in words is "two hundred forty-two billion, one hundred twenty-four million, three hundred four thousand, two hundred twenty-four".