212564765217321 has 128 divisors (see below), whose sum is σ = 350111268864000. Its totient is φ = 126385819560000.

The previous prime is 212564765217317. The next prime is 212564765217361. The reversal of 212564765217321 is 123712567465212.

212564765217321 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 6 + 47 + 6 + 521 + 73 + 2 + 1 = 666.

It is not a de Polignac number, because 212564765217321 - 2² = 212564765217317 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212564765217361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2467537176 + ... + 2467623318.

It is an arithmetic number, because the mean of its divisors is an integer number (2735244288000).

Almost surely, 2^{212564765217321} is an apocalyptic number.

It is an amenable number.

212564765217321 is a deficient number, since it is larger than the sum of its proper divisors (137546503646679).

212564765217321 is a wasteful number, since it uses less digits than its factorization.

212564765217321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86912 (or 86906 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 212564765217321 in words is "two hundred twelve trillion, five hundred sixty-four billion, seven hundred sixty-five million, two hundred seventeen thousand, three hundred twenty-one".