12129861934080 has 1056 divisors, whose sum is σ = 48629532377088. Its totient is φ = 2762932224000.

The previous prime is 12129861934039. The next prime is 12129861934087. The reversal of 12129861934080 is 8043916892121.

It is a happy number.

12129861934080 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 98 + 61 + 93 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12129861934087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9918120349 + ... + 9918121571.

Almost surely, 2^{12129861934080} is an apocalyptic number.

12129861934080 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 12129861934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24314766188544).

12129861934080 is an abundant number, since it is smaller than the sum of its proper divisors (36499670443008).

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

12129861934080 is a wasteful number, since it uses less digits than its factorization.

12129861934080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 12129861934080 in words is "twelve trillion, one hundred twenty-nine billion, eight hundred sixty-one million, nine hundred thirty-four thousand, eighty".