312022313000221 has 16 divisors (see below), whose sum is σ = 316761793473136. Its totient is φ = 307295704958976.

The previous prime is 312022313000201. The next prime is 312022313000261. The reversal of 312022313000221 is 122000313220213.

It can be written as a sum of positive squares in 8 ways, for example, as 65437664316025 + 246584648684196 = 8089355^2 + 15703014^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312022313000221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312022313000192 and 312022313000201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312022313000201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149252071 + ... + 151328203.

It is an arithmetic number, because the mean of its divisors is an integer number (19797612092071).

Almost surely, 2^{312022313000221} is an apocalyptic number.

It is an amenable number.

312022313000221 is a deficient number, since it is larger than the sum of its proper divisors (4739480472915).

312022313000221 is a wasteful number, since it uses less digits than its factorization.

312022313000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079232.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 312022313000221 its reverse (122000313220213), we get a palindrome (434022626220434).

The spelling of 312022313000221 in words is "three hundred twelve trillion, twenty-two billion, three hundred thirteen million, two hundred twenty-one", and thus it is an aban number.