12129861334500 has 2880 divisors, whose sum is σ = 53041209661440. Its totient is φ = 2386734336000.

The previous prime is 12129861334411. The next prime is 12129861334501. The reversal of 12129861334500 is 543316892121.

12129861334500 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 9 + 8 + 6 + 133 + 4 + 500 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12129861334501) by changing a digit.

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 959 ways as a sum of consecutive naturals, for example, 23192851239 + ... + 23192851761.

It is an arithmetic number, because the mean of its divisors is an integer number (18417086688).

Almost surely, 2^{12129861334500} is an apocalyptic number.

12129861334500 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 12129861334500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26520604830720).

12129861334500 is an abundant number, since it is smaller than the sum of its proper divisors (40911348326940).

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

12129861334500 is a wasteful number, since it uses less digits than its factorization.

12129861334500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12129861334500 in words is "twelve trillion, one hundred twenty-nine billion, eight hundred sixty-one million, three hundred thirty-four thousand, five hundred".