12065999795200 has 1056 divisors, whose sum is σ = 35024202752000. Its totient is φ = 4083392839680.

The previous prime is 12065999795197. The next prime is 12065999795231. The reversal of 12065999795200 is 259799956021.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54107622289 + ... + 54107622511.

Almost surely, 2^{12065999795200} is an apocalyptic number.

12065999795200 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 12065999795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17512101376000).

12065999795200 is an abundant number, since it is smaller than the sum of its proper divisors (22958202956800).

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

12065999795200 is a wasteful number, since it uses less digits than its factorization.

12065999795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 27556200, while the sum is 64.

The spelling of 12065999795200 in words is "twelve trillion, sixty-five billion, nine hundred ninety-nine million, seven hundred ninety-five thousand, two hundred".