242011304000 has 112 divisors (see below), whose sum is σ = 599561442480. Its totient is φ = 96768921600.

The previous prime is 242011303979. The next prime is 242011304027. The reversal of 242011304000 is 403110242.

242011304000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 221404127296 + 20607176704 = 470536^2 + 143552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242011304000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37828802 + ... + 37835198.

It is an arithmetic number, because the mean of its divisors is an integer number (5353227165).

Almost surely, 2^242011304000 is an apocalyptic number.

242011304000 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 242011304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299780721240).

242011304000 is an abundant number, since it is smaller than the sum of its proper divisors (357550138480).

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

242011304000 is an equidigital number, since it uses as much as digits as its factorization.

242011304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11153 (or 11133 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 242011304000 its reverse (403110242), we get a palindrome (242414414242).

The spelling of 242011304000 in words is "two hundred forty-two billion, eleven million, three hundred four thousand".