243120240000 has 480 divisors, whose sum is σ = 953730989640. Its totient is φ = 58936320000.

The previous prime is 243120239981. The next prime is 243120240007. The reversal of 243120240000 is 42021342.

243120240000 is a `hidden beast` number, since 243 + 1 + 20 + 2 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243120240007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7904652 + ... + 7935348.

Almost surely, 2^243120240000 is an apocalyptic number.

243120240000 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 243120240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476865494820).

243120240000 is an abundant number, since it is smaller than the sum of its proper divisors (710610749640).

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

243120240000 is a wasteful number, since it uses less digits than its factorization.

243120240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30748 (or 30718 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 243120240000 its reverse (42021342), we get a palindrome (243162261342).

The spelling of 243120240000 in words is "two hundred forty-three billion, one hundred twenty million, two hundred forty thousand".