12129200812512 has 576 divisors, whose sum is σ = 42900437099520. Its totient is φ = 3170991587328.

The previous prime is 12129200812499. The next prime is 12129200812621. The reversal of 12129200812512 is 21521800292121.

12129200812512 is a `hidden beast` number, since 1 + 2 + 129 + 2 + 0 + 0 + 8 + 12 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2063137189 + ... + 2063143067.

It is an arithmetic number, because the mean of its divisors is an integer number (74479925520).

Almost surely, 2^{12129200812512} is an apocalyptic number.

12129200812512 is a gapful number since it is divisible by the number (12) 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 12129200812512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21450218549760).

12129200812512 is an abundant number, since it is smaller than the sum of its proper divisors (30771236287008).

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

12129200812512 is a wasteful number, since it uses less digits than its factorization.

12129200812512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7583 (or 7572 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 12129200812512 in words is "twelve trillion, one hundred twenty-nine billion, two hundred million, eight hundred twelve thousand, five hundred twelve".