242414213124 has 96 divisors (see below), whose sum is σ = 602063078400. Its totient is φ = 75697545600.

The previous prime is 242414213123. The next prime is 242414213141. The reversal of 242414213124 is 421312414242.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 242414213091 and 242414213100.

It is not an unprimeable number, because it can be changed into a prime (242414213123) 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, 19314219 + ... + 19326765.

It is an arithmetic number, because the mean of its divisors is an integer number (6271490400).

Almost surely, 2^242414213124 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 242414213124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301031539200).

242414213124 is an abundant number, since it is smaller than the sum of its proper divisors (359648865276).

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

242414213124 is a wasteful number, since it uses less digits than its factorization.

242414213124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13513 (or 13511 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 242414213124 its reverse (421312414242), we get a palindrome (663726627366).

The spelling of 242414213124 in words is "two hundred forty-two billion, four hundred fourteen million, two hundred thirteen thousand, one hundred twenty-four".