312312211222311 has 24 divisors (see below), whose sum is σ = 451428837896400. Its totient is φ = 208064537913600.

The previous prime is 312312211222289. The next prime is 312312211222321. The reversal of 312312211222311 is 113222112213213.

312312211222311 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 1 + 221 + 122 + 2 + 311 = 666.

It is not a de Polignac number, because 312312211222311 - 2⁶ = 312312211222247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312312211222321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135158991 + ... + 137450271.

It is an arithmetic number, because the mean of its divisors is an integer number (18809534912350).

Almost surely, 2^{312312211222311} is an apocalyptic number.

312312211222311 is a deficient number, since it is larger than the sum of its proper divisors (139116626674089).

312312211222311 is a wasteful number, since it uses less digits than its factorization.

312312211222311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301727 (or 2301724 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 312312211222311 its reverse (113222112213213), we get a palindrome (425534323435524).

The spelling of 312312211222311 in words is "three hundred twelve trillion, three hundred twelve billion, two hundred eleven million, two hundred twenty-two thousand, three hundred eleven".