12841214239296 has 189 divisors, whose sum is σ = 39103953179161. Its totient is φ = 4028157548544.

The previous prime is 12841214239291. The next prime is 12841214239339. The reversal of 12841214239296 is 69293241214821.

The square root of 12841214239296 is 3583464.

It is a perfect power (a square), and thus also a powerful number.

12841214239296 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 121 + 42 + 392 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9997485134400 + 2843729104896 = 3161880^2 + 1686336^2 .

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12841214239291) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1462048921 + ... + 1462057703.

Almost surely, 2^{12841214239296} is an apocalyptic number.

12841214239296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12841214239296 is the 3583464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12841214239296

12841214239296 is an abundant number, since it is smaller than the sum of its proper divisors (26262738939865).

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

12841214239296 is an frugal number, since it uses more digits than its factorization.

12841214239296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17618 (or 8805 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 12841214239296 in words is "twelve trillion, eight hundred forty-one billion, two hundred fourteen million, two hundred thirty-nine thousand, two hundred ninety-six".