242083512000 has 896 divisors, whose sum is σ = 977222937600. Its totient is φ = 58185216000.

The previous prime is 242083511983. The next prime is 242083512059. The reversal of 242083512000 is 215380242.

242083512000 is a `hidden beast` number, since 2 + 420 + 8 + 35 + 1 + 200 + 0 = 666.

242083512000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 330263634 + ... + 330264366.

It is an arithmetic number, because the mean of its divisors is an integer number (1090650600).

Almost surely, 2^242083512000 is an apocalyptic number.

242083512000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242083512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488611468800).

242083512000 is an abundant number, since it is smaller than the sum of its proper divisors (735139425600).

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

242083512000 is a wasteful number, since it uses less digits than its factorization.

242083512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 242083512000 its reverse (215380242), we get a palindrome (242298892242).

The spelling of 242083512000 in words is "two hundred forty-two billion, eighty-three million, five hundred twelve thousand".