312211620081 has 9 divisors (see below), whose sum is σ = 450974761419. Its totient is φ = 208139962536.

The previous prime is 312211620079. The next prime is 312211620137. The reversal of 312211620081 is 180026112213.

The square root of 312211620081 is 558759.

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

312211620081 is a `hidden beast` number, since 3 + 1 + 22 + 11 + 620 + 0 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 168810048225 + 143401571856 = 410865^2 + 378684^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 312211620081 - 2¹ = 312211620079 is a prime.

It is a super-2 number, since 2×312211620081² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312211621081) 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, 1583151 + ... + 1769403.

Almost surely, 2^312211620081 is an apocalyptic number.

312211620081 is the 558759-th square number.

312211620081 is the 279380-th centered octagonal number.

It is an amenable number.

312211620081 is a deficient number, since it is larger than the sum of its proper divisors (138763141338).

312211620081 is an frugal number, since it uses more digits than its factorization.

312211620081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372512 (or 186256 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 312211620081 its reverse (180026112213), we get a palindrome (492237732294).

The spelling of 312211620081 in words is "three hundred twelve billion, two hundred eleven million, six hundred twenty thousand, eighty-one".