242324132232000 has 448 divisors, whose sum is σ = 984805282266624. Its totient is φ = 51127728537600.

The previous prime is 242324132231983. The next prime is 242324132232001. The reversal of 242324132232000 is 232231423242.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242324132232001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53293137 + ... + 57661136.

It is an arithmetic number, because the mean of its divisors is an integer number (2198226076488).

Almost surely, 2^{242324132232000} is an apocalyptic number.

242324132232000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242324132232000 is an abundant number, since it is smaller than the sum of its proper divisors (742481150034624).

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

242324132232000 is a wasteful number, since it uses less digits than its factorization.

242324132232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110954323 (or 110954303 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 242324132232000 its reverse (232231423242), we get a palindrome (242556363655242).

The spelling of 242324132232000 in words is "two hundred forty-two trillion, three hundred twenty-four billion, one hundred thirty-two million, two hundred thirty-two thousand".