312301012221 has 18 divisors (see below), whose sum is σ = 495838798910. Its totient is φ = 189273340080.

The previous prime is 312301012211. The next prime is 312301012223. The reversal of 312301012221 is 122210103213.

312301012221 is a `hidden beast` number, since 312 + 30 + 101 + 2 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 311655344121 + 645668100 = 558261^2 + 25410^2 .

It is not a de Polignac number, because 312301012221 - 2⁹ = 312301011709 is a prime.

It is a super-2 number, since 2×312301012221² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312301012194 and 312301012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312301012223) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 143387806 + ... + 143389983.

Almost surely, 2^312301012221 is an apocalyptic number.

It is an amenable number.

312301012221 is a deficient number, since it is larger than the sum of its proper divisors (183537786689).

312301012221 is a wasteful number, since it uses less digits than its factorization.

312301012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286777817 (or 286777803 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312301012221 its reverse (122210103213), we get a palindrome (434511115434).

The spelling of 312301012221 in words is "three hundred twelve billion, three hundred one million, twelve thousand, two hundred twenty-one".