242043022204112 has 80 divisors (see below), whose sum is σ = 501216596258832. Its totient is φ = 112831900876800.

The previous prime is 242043022204111. The next prime is 242043022204133. The reversal of 242043022204112 is 211402220340242.

It can be written as a sum of positive squares in 8 ways, for example, as 36734702759056 + 205308319445056 = 6060916^2 + 14328584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242043022204111) 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, 53169278 + ... + 57541794.

Almost surely, 2^{242043022204112} 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 242043022204112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250608298129416).

242043022204112 is an abundant number, since it is smaller than the sum of its proper divisors (259173574054720).

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

242043022204112 is a wasteful number, since it uses less digits than its factorization.

242043022204112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374456 (or 4374450 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 242043022204112 its reverse (211402220340242), we get a palindrome (453445242544354).

The spelling of 242043022204112 in words is "two hundred forty-two trillion, forty-three billion, twenty-two million, two hundred four thousand, one hundred twelve".