243120010000 has 400 divisors, whose sum is σ = 721681488000. Its totient is φ = 77455872000.

The previous prime is 243120009983. The next prime is 243120010013. The reversal of 243120010000 is 10021342.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 70488276 + ... + 70491724.

It is an arithmetic number, because the mean of its divisors is an integer number (1804203720).

Almost surely, 2^243120010000 is an apocalyptic number.

243120010000 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 243120010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360840744000).

243120010000 is an abundant number, since it is smaller than the sum of its proper divisors (478561478000).

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

243120010000 is a wasteful number, since it uses less digits than its factorization.

243120010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 243120010000 its reverse (10021342), we get a palindrome (243130031342).

The spelling of 243120010000 in words is "two hundred forty-three billion, one hundred twenty million, ten thousand".