212124724900 has 243 divisors, whose sum is σ = 522298180803. Its totient is φ = 74722876800.

The previous prime is 212124724883. The next prime is 212124724937. The reversal of 212124724900 is 9427421212.

The square root of 212124724900 is 460570.

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

212124724900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1597920676 + 210526804224 = 39974^2 + 458832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2685123061 + ... + 2685123139.

Almost surely, 2^212124724900 is an apocalyptic number.

212124724900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

212124724900 is the 460570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212124724900

212124724900 is an abundant number, since it is smaller than the sum of its proper divisors (310173455903).

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

212124724900 is a wasteful number, since it uses less digits than its factorization.

212124724900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

It can be divided in two parts, 212124 and 724900, that added together give a square (937024 = 968²).

The spelling of 212124724900 in words is "two hundred twelve billion, one hundred twenty-four million, seven hundred twenty-four thousand, nine hundred".