242929130112 has 384 divisors, whose sum is σ = 744773253120. Its totient is φ = 75884544000.

The previous prime is 242929130111. The next prime is 242929130117. The reversal of 242929130112 is 211031929242.

242929130112 is a `hidden beast` number, since 2 + 429 + 2 + 91 + 30 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (242929130111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169524148 + ... + 169525580.

It is an arithmetic number, because the mean of its divisors is an integer number (1939513680).

Almost surely, 2^242929130112 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 242929130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372386626560).

242929130112 is an abundant number, since it is smaller than the sum of its proper divisors (501844123008).

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

242929130112 is a wasteful number, since it uses less digits than its factorization.

242929130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

It can be divided in two parts, 242929130 and 112, that added together give a palindrome (242929242).

The spelling of 242929130112 in words is "two hundred forty-two billion, nine hundred twenty-nine million, one hundred thirty thousand, one hundred twelve".