312120124321 has 16 divisors (see below), whose sum is σ = 335334459600. Its totient is φ = 289467701248.

The previous prime is 312120124313. The next prime is 312120124331. The reversal of 312120124321 is 123421021213.

It can be written as a sum of positive squares in 8 ways, for example, as 1007173696 + 311112950625 = 31736^2 + 557775^2 .

It is a cyclic number.

It is not a de Polignac number, because 312120124321 - 2³ = 312120124313 is a prime.

It is a super-2 number, since 2×312120124321² (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 = 312120124292 and 312120124301.

It is not an unprimeable number, because it can be changed into a prime (312120124331) 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, 91275 + ... + 795343.

It is an arithmetic number, because the mean of its divisors is an integer number (20958403725).

Almost surely, 2^312120124321 is an apocalyptic number.

It is an amenable number.

312120124321 is a deficient number, since it is larger than the sum of its proper divisors (23214335279).

312120124321 is a wasteful number, since it uses less digits than its factorization.

312120124321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704468.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 312120124321 its reverse (123421021213), we get a palindrome (435541145534).

The spelling of 312120124321 in words is "three hundred twelve billion, one hundred twenty million, one hundred twenty-four thousand, three hundred twenty-one".