242842792122 has 384 divisors, whose sum is σ = 661479436800. Its totient is φ = 65330343936.

The previous prime is 242842792117. The next prime is 242842792139. The reversal of 242842792122 is 221297248242.

242842792122 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 427 + 9 + 212 + 2 = 666.

242842792122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 593747454 + ... + 593747862.

It is an arithmetic number, because the mean of its divisors is an integer number (1722602700).

Almost surely, 2^242842792122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242842792122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330739718400).

242842792122 is an abundant number, since it is smaller than the sum of its proper divisors (418636644678).

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

242842792122 is a wasteful number, since it uses less digits than its factorization.

242842792122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 600 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 242842792122 in words is "two hundred forty-two billion, eight hundred forty-two million, seven hundred ninety-two thousand, one hundred twenty-two".