212724810841 has 9 divisors (see below), whose sum is σ = 216297878589. Its totient is φ = 209209845600.

The previous prime is 212724810817. The next prime is 212724810847. The reversal of 212724810841 is 148018427212.

The square root of 212724810841 is 461221.

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 126324087241 + 86400723600 = 355421^2 + 293940^2 .

It is not a de Polignac number, because 212724810841 - 2¹⁵ = 212724778073 is a prime.

It is a super-2 number, since 2×212724810841² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212724810794 and 212724810803.

It is not an unprimeable number, because it can be changed into a prime (212724810847) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28130701 + ... + 28138261.

It is an arithmetic number, because the mean of its divisors is an integer number (24033097621).

Almost surely, 2^212724810841 is an apocalyptic number.

212724810841 is the 461221-st square number.

212724810841 is the 230611-st centered octagonal number.

It is an amenable number.

212724810841 is a deficient number, since it is larger than the sum of its proper divisors (3573067748).

212724810841 is an frugal number, since it uses more digits than its factorization.

212724810841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15244 (or 7622 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The spelling of 212724810841 in words is "two hundred twelve billion, seven hundred twenty-four million, eight hundred ten thousand, eight hundred forty-one".