12834260241600 has 2016 divisors, whose sum is σ = 53854713077760. Its totient is φ = 2656862208000.

The previous prime is 12834260241599. The next prime is 12834260241601. The reversal of 12834260241600 is 614206243821.

It is an interprime number because it is at equal distance from previous prime (12834260241599) and next prime (12834260241601).

It is a super-2 number, since 2×12834260241600² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12834260241601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12950817105 + ... + 12950818095.

It is an arithmetic number, because the mean of its divisors is an integer number (26713647360).

Almost surely, 2^{12834260241600} is an apocalyptic number.

12834260241600 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 12834260241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26927356538880).

12834260241600 is an abundant number, since it is smaller than the sum of its proper divisors (41020452836160).

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

12834260241600 is a wasteful number, since it uses less digits than its factorization.

12834260241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 12834260241600 in words is "twelve trillion, eight hundred thirty-four billion, two hundred sixty million, two hundred forty-one thousand, six hundred".