212418670321 has 45 divisors (see below), whose sum is σ = 253881941745. Its totient is φ = 177645056160.

The previous prime is 212418670309. The next prime is 212418670333. The reversal of 212418670321 is 123076814212.

The square root of 212418670321 is 460889.

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

It is an interprime number because it is at equal distance from previous prime (212418670309) and next prime (212418670333).

It can be written as a sum of positive squares in 4 ways, for example, as 5430068721 + 206988601600 = 73689^2 + 454960^2 .

It is not a de Polignac number, because 212418670321 - 2¹³ = 212418662129 is a prime.

It is a super-3 number, since 3×212418670321³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212418670381) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 724978251 + ... + 724978543.

Almost surely, 2^212418670321 is an apocalyptic number.

212418670321 is the 460889-th square number.

212418670321 is the 230445-th centered octagonal number.

It is an amenable number.

212418670321 is a deficient number, since it is larger than the sum of its proper divisors (41463271424).

212418670321 is an frugal number, since it uses more digits than its factorization.

212418670321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 212418670321 in words is "two hundred twelve billion, four hundred eighteen million, six hundred seventy thousand, three hundred twenty-one".