8126210300512 has 96 divisors (see below), whose sum is σ = 16550281238400. Its totient is φ = 3925069747200.

The previous prime is 8126210300441. The next prime is 8126210300561. The reversal of 8126210300512 is 2150030126218.

It is a super-4 number, since 4×8126210300512⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 69058687 + ... + 69176257.

It is an arithmetic number, because the mean of its divisors is an integer number (172398762900).

Almost surely, 2^{8126210300512} is an apocalyptic number.

8126210300512 is a gapful number since it is divisible by the number (82) 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 8126210300512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8275140619200).

8126210300512 is an abundant number, since it is smaller than the sum of its proper divisors (8424070937888).

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

8126210300512 is a wasteful number, since it uses less digits than its factorization.

8126210300512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118140 (or 118132 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 8126210300512 in words is "eight trillion, one hundred twenty-six billion, two hundred ten million, three hundred thousand, five hundred twelve".