13212243868320 has 576 divisors, whose sum is σ = 51908756739840. Its totient is φ = 2997668265984.

The previous prime is 13212243868303. The next prime is 13212243868331. The reversal of 13212243868320 is 2386834221231.

13212243868320 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 243 + 86 + 8 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 1149184812 + ... + 1149196308.

It is an arithmetic number, because the mean of its divisors is an integer number (90119369340).

Almost surely, 2^{13212243868320} is an apocalyptic number.

13212243868320 is a gapful number since it is divisible by the number (10) 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 13212243868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25954378369920).

13212243868320 is an abundant number, since it is smaller than the sum of its proper divisors (38696512871520).

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

13212243868320 is a wasteful number, since it uses less digits than its factorization.

13212243868320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12357 (or 12346 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 13212243868320 in words is "thirteen trillion, two hundred twelve billion, two hundred forty-three million, eight hundred sixty-eight thousand, three hundred twenty".