12393059328000 has 2016 divisors, whose sum is σ = 49492213364880. Its totient is φ = 2981206425600.

The previous prime is 12393059327983. The next prime is 12393059328017. The reversal of 12393059328000 is 82395039321.

12393059328000 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 30 + 593 + 28 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12393059327983) and next prime (12393059328017).

It can be written as a sum of positive squares in 24 ways, for example, as 7129668980736 + 5263390347264 = 2670144^2 + 2294208^2 .

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 143 ways as a sum of consecutive naturals, for example, 113697791946 + ... + 113697792054.

Almost surely, 2^{12393059328000} is an apocalyptic number.

12393059328000 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 12393059328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24746106682440).

12393059328000 is an abundant number, since it is smaller than the sum of its proper divisors (37099154036880).

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

12393059328000 is a wasteful number, since it uses less digits than its factorization.

12393059328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 12393059328000 in words is "twelve trillion, three hundred ninety-three billion, fifty-nine million, three hundred twenty-eight thousand".