243222105240000 has 700 divisors, whose sum is σ = 901396501774384. Its totient is φ = 64826707968000.

The previous prime is 243222105239891. The next prime is 243222105240001. The reversal of 243222105240000 is 42501222342.

243222105240000 is a `hidden beast` number, since 2 + 4 + 32 + 221 + 0 + 5 + 2 + 400 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243222105240001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 6846102237 + ... + 6846137763.

Almost surely, 2^{243222105240000} is an apocalyptic number.

243222105240000 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 243222105240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450698250887192).

243222105240000 is an abundant number, since it is smaller than the sum of its proper divisors (658174396534384).

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

243222105240000 is an equidigital number, since it uses as much as digits as its factorization.

243222105240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37684 (or 37650 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 243222105240000 its reverse (42501222342), we get a palindrome (243264606462342).

The spelling of 243222105240000 in words is "two hundred forty-three trillion, two hundred twenty-two billion, one hundred five million, two hundred forty thousand".