243121134432 has 96 divisors (see below), whose sum is σ = 702372021120. Its totient is φ = 73021061120.

The previous prime is 243121134419. The next prime is 243121134437. The reversal of 243121134432 is 234431121342.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 243121134432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243121134437) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 899382 + ... + 1138037.

It is an arithmetic number, because the mean of its divisors is an integer number (7316375220).

Almost surely, 2^243121134432 is an apocalyptic number.

243121134432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

243121134432 is an abundant number, since it is smaller than the sum of its proper divisors (459250886688).

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

243121134432 is a wasteful number, since it uses less digits than its factorization.

243121134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037556 (or 2037548 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 243121134432 its reverse (234431121342), we get a palindrome (477552255774).

The spelling of 243121134432 in words is "two hundred forty-three billion, one hundred twenty-one million, one hundred thirty-four thousand, four hundred thirty-two".