312000122111221 has 2 divisors, whose sum is σ = 312000122111222. Its totient is φ = 312000122111220.

The previous prime is 312000122111191. The next prime is 312000122111231. The reversal of 312000122111221 is 122111221000213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 302856090423121 + 9144031688100 = 17402761^2 + 3023910^2 .

It is a cyclic number.

It is not a de Polignac number, because 312000122111221 - 2⁹ = 312000122110709 is a prime.

It is a super-2 number, since 2×312000122111221² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312000122111231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156000061055610 + 156000061055611.

It is an arithmetic number, because the mean of its divisors is an integer number (156000061055611).

Almost surely, 2^{312000122111221} is an apocalyptic number.

It is an amenable number.

312000122111221 is a deficient number, since it is larger than the sum of its proper divisors (1).

312000122111221 is an equidigital number, since it uses as much as digits as its factorization.

312000122111221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 312000122111221 its reverse (122111221000213), we get a palindrome (434111343111434).

The spelling of 312000122111221 in words is "three hundred twelve trillion, one hundred twenty-two million, one hundred eleven thousand, two hundred twenty-one".