8212809640000 has 945 divisors, whose sum is σ = 25046178623697. Its totient is φ = 2663130624000.

The previous prime is 8212809639997. The next prime is 8212809640003. The reversal of 8212809640000 is 469082128.

The square root of 8212809640000 is 2865800.

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

It is an interprime number because it is at equal distance from previous prime (8212809639997) and next prime (8212809640003).

It can be written as a sum of positive squares in 7 ways, for example, as 7978274773056 + 234534866944 = 2824584^2 + 484288^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8212809640003) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 92278759956 + ... + 92278760044.

Almost surely, 2^{8212809640000} is an apocalyptic number.

8212809640000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8212809640000 is the 2865800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8212809640000

8212809640000 is an abundant number, since it is smaller than the sum of its proper divisors (16833368983697).

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

8212809640000 is an frugal number, since it uses more digits than its factorization.

8212809640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 8212809640000 in words is "eight trillion, two hundred twelve billion, eight hundred nine million, six hundred forty thousand".