242124140224 has 112 divisors (see below), whose sum is σ = 492130080000. Its totient is φ = 118168759296.

The previous prime is 242124140221. The next prime is 242124140231. The reversal of 242124140224 is 422041421242.

It is a happy number.

242124140224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242124140224² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242124140192 and 242124140201.

It is not an unprimeable number, because it can be changed into a prime (242124140221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161523027 + ... + 161524525.

Almost surely, 2^242124140224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242124140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246065040000).

242124140224 is an abundant number, since it is smaller than the sum of its proper divisors (250005939776).

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

242124140224 is a wasteful number, since it uses less digits than its factorization.

242124140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 242124140224 its reverse (422041421242), we get a palindrome (664165561466).

The spelling of 242124140224 in words is "two hundred forty-two billion, one hundred twenty-four million, one hundred forty thousand, two hundred twenty-four".