8192812000 has 48 divisors (see below), whose sum is σ = 20129748912. Its totient is φ = 3277123200.

The previous prime is 8192811971. The next prime is 8192812009. The reversal of 8192812000 is 2182918.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8192812009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1020102 + ... + 1028101.

It is an arithmetic number, because the mean of its divisors is an integer number (419369769).

Almost surely, 2^8192812000 is an apocalyptic number.

8192812000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8192812000 is an abundant number, since it is smaller than the sum of its proper divisors (11936936912).

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

8192812000 is a wasteful number, since it uses less digits than its factorization.

8192812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048228 (or 2048210 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 8192812000 is about 90514.1535893697. The cubic root of 8192812000 is about 2015.9402828326.

Adding to 8192812000 its reverse (2182918), we get a palindrome (8194994918).

The spelling of 8192812000 in words is "eight billion, one hundred ninety-two million, eight hundred twelve thousand".