12834362120832 has 1536 divisors, whose sum is σ = 49305659558400. Its totient is φ = 3299822862336.

The previous prime is 12834362120813. The next prime is 12834362120873. The reversal of 12834362120832 is 23802126343821.

12834362120832 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 436 + 2 + 1 + 208 + 3 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5363292628 + ... + 5363295020.

It is an arithmetic number, because the mean of its divisors is an integer number (32100038775).

Almost surely, 2^{12834362120832} is an apocalyptic number.

12834362120832 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 12834362120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24652829779200).

12834362120832 is an abundant number, since it is smaller than the sum of its proper divisors (36471297437568).

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

12834362120832 is an equidigital number, since it uses as much as digits as its factorization.

12834362120832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 12834362120832 in words is "twelve trillion, eight hundred thirty-four billion, three hundred sixty-two million, one hundred twenty thousand, eight hundred thirty-two".