312211332121 has 16 divisors (see below), whose sum is σ = 338742003600. Its totient is φ = 286040613888.

The previous prime is 312211332101. The next prime is 312211332133. The reversal of 312211332121 is 121233112213.

It can be written as a sum of positive squares in 8 ways, for example, as 1727233600 + 310484098521 = 41560^2 + 557211^2 .

It is a cyclic number.

It is not a de Polignac number, because 312211332121 - 2¹³ = 312211323929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312211332092 and 312211332101.

It is not an unprimeable number, because it can be changed into a prime (312211332101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13112295 + ... + 13136083.

It is an arithmetic number, because the mean of its divisors is an integer number (21171375225).

Almost surely, 2^312211332121 is an apocalyptic number.

It is an amenable number.

312211332121 is a deficient number, since it is larger than the sum of its proper divisors (26530671479).

312211332121 is a wasteful number, since it uses less digits than its factorization.

312211332121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31308.

The product of its digits is 432, while the sum is 22.

Adding to 312211332121 its reverse (121233112213), we get a palindrome (433444444334).

The spelling of 312211332121 in words is "three hundred twelve billion, two hundred eleven million, three hundred thirty-two thousand, one hundred twenty-one".