8142181171200 has 1428 divisors, whose sum is σ = 32135645422548. Its totient is φ = 2038431744000.

The previous prime is 8142181171181. The next prime is 8142181171219. The reversal of 8142181171200 is 21711812418.

It is an interprime number because it is at equal distance from previous prime (8142181171181) and next prime (8142181171219).

It can be written as a sum of positive squares in 6 ways, for example, as 949829566464 + 7192351604736 = 974592^2 + 2681856^2 .

It is a super-2 number, since 2×8142181171200² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 20304691000 + ... + 20304691400.

Almost surely, 2^{8142181171200} is an apocalyptic number.

8142181171200 is a gapful number since it is divisible by the number (80) 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 8142181171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16067822711274).

8142181171200 is an abundant number, since it is smaller than the sum of its proper divisors (23993464251348).

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

8142181171200 is an frugal number, since it uses more digits than its factorization.

8142181171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

Adding to 8142181171200 its reverse (21711812418), we get a palindrome (8163892983618).

The spelling of 8142181171200 in words is "eight trillion, one hundred forty-two billion, one hundred eighty-one million, one hundred seventy-one thousand, two hundred".