243012000312 has 192 divisors, whose sum is σ = 713066215680. Its totient is φ = 77388867072.

The previous prime is 243012000139. The next prime is 243012000323. The reversal of 243012000312 is 213000210342.

243012000312 is a `hidden beast` number, since 2 + 430 + 1 + 200 + 0 + 31 + 2 = 666.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 43680843 + ... + 43686405.

It is an arithmetic number, because the mean of its divisors is an integer number (3713886540).

Almost surely, 2^243012000312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243012000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356533107840).

243012000312 is an abundant number, since it is smaller than the sum of its proper divisors (470054215368).

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

243012000312 is a wasteful number, since it uses less digits than its factorization.

243012000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6584 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 243012000312 its reverse (213000210342), we get a palindrome (456012210654).

The spelling of 243012000312 in words is "two hundred forty-three billion, twelve million, three hundred twelve", and thus it is an aban number.