212290562500 has 189 divisors, whose sum is σ = 495211805739. Its totient is φ = 79617600000.

The previous prime is 212290562479. The next prime is 212290562503. The reversal of 212290562500 is 5265092212.

The square root of 212290562500 is 460750.

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

It can be written as a sum of positive squares in 10 ways, for example, as 167587071876 + 44703490624 = 409374^2 + 211432^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212290562503) 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 62 ways as a sum of consecutive naturals, for example, 2188562452 + ... + 2188562548.

Almost surely, 2^212290562500 is an apocalyptic number.

212290562500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

212290562500 is the 460750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212290562500

212290562500 is an abundant number, since it is smaller than the sum of its proper divisors (282921243239).

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

212290562500 is an frugal number, since it uses more digits than its factorization.

212290562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 212290562500 in words is "two hundred twelve billion, two hundred ninety million, five hundred sixty-two thousand, five hundred".