12134215864680 has 256 divisors, whose sum is σ = 44833775616000. Its totient is φ = 2558442378240.

The previous prime is 12134215864679. The next prime is 12134215864723. The reversal of 12134215864680 is 8646851243121.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15685621 + ... + 16441019.

It is an arithmetic number, because the mean of its divisors is an integer number (175131936000).

Almost surely, 2^{12134215864680} is an apocalyptic number.

12134215864680 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 12134215864680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22416887808000).

12134215864680 is an abundant number, since it is smaller than the sum of its proper divisors (32699559751320).

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

12134215864680 is a wasteful number, since it uses less digits than its factorization.

12134215864680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756904 (or 756900 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 12134215864680 in words is "twelve trillion, one hundred thirty-four billion, two hundred fifteen million, eight hundred sixty-four thousand, six hundred eighty".