12817832040000 has 2835 divisors, whose sum is σ = 54838232919327. Its totient is φ = 2969561088000.

The previous prime is 12817832039989. The next prime is 12817832040071. The reversal of 12817832040000 is 4023871821.

The square root of 12817832040000 is 3580200.

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

12817832040000 is a `hidden beast` number, since 128 + 178 + 320 + 40 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 11063500001856 + 1754332038144 = 3326184^2 + 1324512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 753990119992 + ... + 753990120008.

Almost surely, 2^{12817832040000} is an apocalyptic number.

12817832040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12817832040000 is the 3580200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12817832040000

12817832040000 is an abundant number, since it is smaller than the sum of its proper divisors (42020400879327).

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

12817832040000 is an frugal number, since it uses more digits than its factorization.

12817832040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Multiplying 12817832040000 by its sum of digits (36), we get a square (461441953440000 = 21481200²).

12817832040000 divided by its sum of digits (36) gives a square (356050890000 = 596700²).

The spelling of 12817832040000 in words is "twelve trillion, eight hundred seventeen billion, eight hundred thirty-two million, forty thousand".