242212384512 has 648 divisors, whose sum is σ = 851358908400. Its totient is φ = 68568643584.

The previous prime is 242212384499. The next prime is 242212384517. The reversal of 242212384512 is 215483212242.

242212384512 is a `hidden beast` number, since 2 + 4 + 221 + 2 + 384 + 51 + 2 = 666.

242212384512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242212384517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2222131914 + ... + 2222132022.

Almost surely, 2^242212384512 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 242212384512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425679454200).

242212384512 is an abundant number, since it is smaller than the sum of its proper divisors (609146523888).

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

242212384512 is an frugal number, since it uses more digits than its factorization.

242212384512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 121 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

Adding to 242212384512 its reverse (215483212242), we get a palindrome (457695596754).

The spelling of 242212384512 in words is "two hundred forty-two billion, two hundred twelve million, three hundred eighty-four thousand, five hundred twelve".