212201771719609 has 81 divisors (see below), whose sum is σ = 264191886565551. Its totient is φ = 169911202608000.

The previous prime is 212201771719591. The next prime is 212201771719621. The reversal of 212201771719609 is 906917177102212.

The square root of 212201771719609 is 14567147.

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

It can be written as a sum of positive squares in only one way, i.e., 165208991823225 + 46992779896384 = 12853365^2 + 6855128^2 .

It is not a de Polignac number, because 212201771719609 - 2¹⁷ = 212201771588537 is a prime.

It is a super-2 number, since 2×212201771719609² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212201771719609.

It is not an unprimeable number, because it can be changed into a prime (212201771719649) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 282558949984 + ... + 282558950734.

Almost surely, 2^{212201771719609} is an apocalyptic number.

212201771719609 is the 14567147-th square number.

212201771719609 is the 7283574-th centered octagonal number.

It is an amenable number.

212201771719609 is a deficient number, since it is larger than the sum of its proper divisors (51990114845942).

212201771719609 is an frugal number, since it uses more digits than its factorization.

212201771719609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 55.

The spelling of 212201771719609 in words is "two hundred twelve trillion, two hundred one billion, seven hundred seventy-one million, seven hundred nineteen thousand, six hundred nine".