312221121089 has 2 divisors, whose sum is σ = 312221121090. Its totient is φ = 312221121088.

The previous prime is 312221121071. The next prime is 312221121127. The reversal of 312221121089 is 980121122213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311659810225 + 561310864 = 558265^2 + 23692^2 .

It is a cyclic number.

It is not a de Polignac number, because 312221121089 - 2²⁴ = 312204343873 is a prime.

It is not a weakly prime, because it can be changed into another prime (312221121019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156110560544 + 156110560545.

It is an arithmetic number, because the mean of its divisors is an integer number (156110560545).

Almost surely, 2^312221121089 is an apocalyptic number.

It is an amenable number.

312221121089 is a deficient number, since it is larger than the sum of its proper divisors (1).

312221121089 is an equidigital number, since it uses as much as digits as its factorization.

312221121089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 32.

The spelling of 312221121089 in words is "three hundred twelve billion, two hundred twenty-one million, one hundred twenty-one thousand, eighty-nine".