12338383239072 has 144 divisors (see below), whose sum is σ = 38303065382400. Its totient is φ = 3736360857600.

The previous prime is 12338383238927. The next prime is 12338383239073. The reversal of 12338383239072 is 27093238383321.

12338383239072 is a `hidden beast` number, since 1 + 2 + 33 + 83 + 83 + 2 + 390 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (12338383239073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3336304 + ... + 5983952.

It is an arithmetic number, because the mean of its divisors is an integer number (265993509600).

Almost surely, 2^{12338383239072} is an apocalyptic number.

12338383239072 is a gapful number since it is divisible by the number (12) 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 12338383239072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19151532691200).

12338383239072 is an abundant number, since it is smaller than the sum of its proper divisors (25964682143328).

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

12338383239072 is a wasteful number, since it uses less digits than its factorization.

12338383239072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649147 (or 2649136 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 12338383239072 in words is "twelve trillion, three hundred thirty-eight billion, three hundred eighty-three million, two hundred thirty-nine thousand, seventy-two".