6212705800900 has 27 divisors (see below), whose sum is σ = 13481625676071. Its totient is φ = 2485072350240.

The previous prime is 6212705800897. The next prime is 6212705800907. The reversal of 6212705800900 is 90085072126.

The square root of 6212705800900 is 2492530.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1499777419716 + 4712928381184 = 1224654^2 + 2170928^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6212705800907) 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 8 ways as a sum of consecutive naturals, for example, 24800674 + ... + 25049926.

Almost surely, 2^{6212705800900} is an apocalyptic number.

6212705800900 is the 2492530-th square number.

It is an amenable number.

6212705800900 is an abundant number, since it is smaller than the sum of its proper divisors (7268919875171).

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

6212705800900 is an frugal number, since it uses more digits than its factorization.

6212705800900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498520 (or 249260 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 6212705800900 in words is "six trillion, two hundred twelve billion, seven hundred five million, eight hundred thousand, nine hundred".