312013120221 has 48 divisors (see below), whose sum is σ = 506146962048. Its totient is φ = 183550147200.

The previous prime is 312013120207. The next prime is 312013120229. The reversal of 312013120221 is 122021310213.

312013120221 is a `hidden beast` number, since 312 + 0 + 13 + 120 + 221 = 666.

It is not a de Polignac number, because 312013120221 - 2¹⁴ = 312013103837 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312013120194 and 312013120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312013120229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1440960 + ... + 1643286.

It is an arithmetic number, because the mean of its divisors is an integer number (10544728376).

Almost surely, 2^312013120221 is an apocalyptic number.

It is an amenable number.

312013120221 is a deficient number, since it is larger than the sum of its proper divisors (194133841827).

312013120221 is a wasteful number, since it uses less digits than its factorization.

312013120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202802 (or 202799 counting only the distinct ones).

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

Adding to 312013120221 its reverse (122021310213), we get a palindrome (434034430434).

It can be divided in two parts, 312013 and 120221, that added together give a palindrome (432234).

The spelling of 312013120221 in words is "three hundred twelve billion, thirteen million, one hundred twenty thousand, two hundred twenty-one".