12009338248320 has 576 divisors, whose sum is σ = 48320479584000. Its totient is φ = 2740430278656.

The previous prime is 12009338248283. The next prime is 12009338248421. The reversal of 12009338248320 is 2384283390021.

12009338248320 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 93 + 3 + 82 + 483 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 171284631 + ... + 171354729.

It is an arithmetic number, because the mean of its divisors is an integer number (83889721500).

Almost surely, 2^{12009338248320} is an apocalyptic number.

12009338248320 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 12009338248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24160239792000).

12009338248320 is an abundant number, since it is smaller than the sum of its proper divisors (36311141335680).

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

12009338248320 is a wasteful number, since it uses less digits than its factorization.

12009338248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70745 (or 70723 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 12009338248320 in words is "twelve trillion, nine billion, three hundred thirty-eight million, two hundred forty-eight thousand, three hundred twenty".