12005231616000 has 4480 divisors, whose sum is σ = 57000132034560. Its totient is φ = 2452488192000.

The previous prime is 12005231615953. The next prime is 12005231616017. The reversal of 12005231616000 is 61613250021.

12005231616000 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 52 + 3 + 1 + 6 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 387265535985 + ... + 387265536015.

Almost surely, 2^{12005231616000} is an apocalyptic number.

12005231616000 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 12005231616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28500066017280).

12005231616000 is an abundant number, since it is smaller than the sum of its proper divisors (44994900418560).

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

12005231616000 is an equidigital number, since it uses as much as digits as its factorization.

12005231616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 12005231616000 its reverse (61613250021), we get a palindrome (12066844866021).

The spelling of 12005231616000 in words is "twelve trillion, five billion, two hundred thirty-one million, six hundred sixteen thousand".