243120000000 has 352 divisors, whose sum is σ = 810801830592. Its totient is φ = 64768000000.

The previous prime is 243119999999. The next prime is 243120000001. The reversal of 243120000000 is 21342.

It is an interprime number because it is at equal distance from previous prime (243119999999) and next prime (243120000001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (243120000001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239999494 + ... + 240000506.

Almost surely, 2^243120000000 is an apocalyptic number.

243120000000 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 243120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405400915296).

243120000000 is an abundant number, since it is smaller than the sum of its proper divisors (567681830592).

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

243120000000 is an frugal number, since it uses more digits than its factorization.

243120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 243120000000 its reverse (21342), we get a palindrome (243120021342).

The spelling of 243120000000 in words is "two hundred forty-three billion, one hundred twenty million", and thus it is an aban number.