812131600000 has 192 divisors, whose sum is σ = 2311172075520. Its totient is φ = 278444160000.

The previous prime is 812131599967. The next prime is 812131600001. The reversal of 812131600000 is 6131218.

It is not an unprimeable number, because it can be changed into a prime (812131600001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2654977 + ... + 2945023.

It is an arithmetic number, because the mean of its divisors is an integer number (12037354560).

Almost surely, 2^812131600000 is an apocalyptic number.

812131600000 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 812131600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155586037760).

812131600000 is an abundant number, since it is smaller than the sum of its proper divisors (1499040475520).

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

812131600000 is an frugal number, since it uses more digits than its factorization.

812131600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290093 (or 290061 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 812131600000 its reverse (6131218), we get a palindrome (812137731218).

The spelling of 812131600000 in words is "eight hundred twelve billion, one hundred thirty-one million, six hundred thousand".