242707110912 has 704 divisors, whose sum is σ = 855063014400. Its totient is φ = 66567536640.

The previous prime is 242707110889. The next prime is 242707110941. The reversal of 242707110912 is 219011707242.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 579253039 + ... + 579253457.

Almost surely, 2^242707110912 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 242707110912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427531507200).

242707110912 is an abundant number, since it is smaller than the sum of its proper divisors (612355903488).

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

242707110912 is a wasteful number, since it uses less digits than its factorization.

242707110912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 242707110912 in words is "two hundred forty-two billion, seven hundred seven million, one hundred ten thousand, nine hundred twelve".