212612500 has 72 divisors (see below), whose sum is σ = 473454072. Its totient is φ = 83520000.

The previous prime is 212612461. The next prime is 212612501. The reversal of 212612500 is 5216212.

It can be written as a sum of positive squares in 12 ways, for example, as 211004676 + 1607824 = 14526^2 + 1268^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212612501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 912384 + ... + 912616.

It is an arithmetic number, because the mean of its divisors is an integer number (6575751).

Almost surely, 2^212612500 is an apocalyptic number.

212612500 is a gapful number since it is divisible by the number (20) 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 212612500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236727036).

212612500 is an abundant number, since it is smaller than the sum of its proper divisors (260841572).

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

212612500 is an equidigital number, since it uses as much as digits as its factorization.

212612500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 212612500 is about 14581.2379447014. The cubic root of 212612500 is about 596.8468847259.

Adding to 212612500 its reverse (5216212), we get a palindrome (217828712).

The spelling of 212612500 in words is "two hundred twelve million, six hundred twelve thousand, five hundred".