242124004116 has 120 divisors (see below), whose sum is σ = 635981970624. Its totient is φ = 80323436160.

The previous prime is 242124004091. The next prime is 242124004117. The reversal of 242124004116 is 611400421242.

242124004116 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 240 + 0 + 411 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 242124004116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242124004117) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135794961 + ... + 135796743.

Almost surely, 2^242124004116 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 242124004116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317990985312).

242124004116 is an abundant number, since it is smaller than the sum of its proper divisors (393857966508).

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

242124004116 is a wasteful number, since it uses less digits than its factorization.

242124004116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 242124004116 its reverse (611400421242), we get a palindrome (853524425358).

The spelling of 242124004116 in words is "two hundred forty-two billion, one hundred twenty-four million, four thousand, one hundred sixteen".