312212432101311 has 12 divisors (see below), whose sum is σ = 515398300611792. Its totient is φ = 178407104057856.

The previous prime is 312212432101309. The next prime is 312212432101313. The reversal of 312212432101311 is 113101234212213.

312212432101311 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 1 + 24 + 321 + 0 + 1 + 311 = 666.

It is an interprime number because it is at equal distance from previous prime (312212432101309) and next prime (312212432101313).

It is not a de Polignac number, because 312212432101311 - 2¹ = 312212432101309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312212432101313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2477876445186 + ... + 2477876445311.

It is an arithmetic number, because the mean of its divisors is an integer number (42949858384316).

Almost surely, 2^{312212432101311} is an apocalyptic number.

312212432101311 is a deficient number, since it is larger than the sum of its proper divisors (203185868510481).

312212432101311 is a wasteful number, since it uses less digits than its factorization.

312212432101311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4955752890510 (or 4955752890507 counting only the distinct ones).

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

Adding to 312212432101311 its reverse (113101234212213), we get a palindrome (425313666313524).

The spelling of 312212432101311 in words is "three hundred twelve trillion, two hundred twelve billion, four hundred thirty-two million, one hundred one thousand, three hundred eleven".