242123333144 has 128 divisors (see below), whose sum is σ = 568479098880. Its totient is φ = 93922137600.

The previous prime is 242123333141. The next prime is 242123333167. The reversal of 242123333144 is 441333321242.

It is a super-3 number, since 3×242123333144³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242123333144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242123333141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219512897 + ... + 219513999.

It is an arithmetic number, because the mean of its divisors is an integer number (4441242960).

Almost surely, 2^242123333144 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 242123333144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284239549440).

242123333144 is an abundant number, since it is smaller than the sum of its proper divisors (326355765736).

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

242123333144 is a wasteful number, since it uses less digits than its factorization.

242123333144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2357 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

Adding to 242123333144 its reverse (441333321242), we get a palindrome (683456654386).

The spelling of 242123333144 in words is "two hundred forty-two billion, one hundred twenty-three million, three hundred thirty-three thousand, one hundred forty-four".