324121248000 has 1296 divisors, whose sum is σ = 1309926473856. Its totient is φ = 76876800000.

The previous prime is 324121247939. The next prime is 324121248019. The reversal of 324121248000 is 842121423.

324121248000 is a `hidden beast` number, since 3 + 2 + 412 + 1 + 248 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2474207935 + ... + 2474208065.

It is an arithmetic number, because the mean of its divisors is an integer number (1010745736).

Almost surely, 2^324121248000 is an apocalyptic number.

324121248000 is a gapful number since it is divisible by the number (30) 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 324121248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654963236928).

324121248000 is an abundant number, since it is smaller than the sum of its proper divisors (985805225856).

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

324121248000 is a wasteful number, since it uses less digits than its factorization.

324121248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 324121248000 its reverse (842121423), we get a palindrome (324963369423).

The spelling of 324121248000 in words is "three hundred twenty-four billion, one hundred twenty-one million, two hundred forty-eight thousand".