312122000221 has 8 divisors (see below), whose sum is σ = 312330087000. Its totient is φ = 311913978432.

The previous prime is 312122000207. The next prime is 312122000249. The reversal of 312122000221 is 122000221213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2553280900 + 309568719321 = 50530^2 + 556389^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312122000221 - 2¹³ = 312121992029 is a prime.

It is a super-3 number, since 3×312122000221³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312122000195 and 312122000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312122000261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12710271 + ... + 12734803.

It is an arithmetic number, because the mean of its divisors is an integer number (39041260875).

Almost surely, 2^312122000221 is an apocalyptic number.

It is an amenable number.

312122000221 is a deficient number, since it is larger than the sum of its proper divisors (208086779).

312122000221 is a wasteful number, since it uses less digits than its factorization.

312122000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32495.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 312122000221 its reverse (122000221213), we get a palindrome (434122221434).

The spelling of 312122000221 in words is "three hundred twelve billion, one hundred twenty-two million, two hundred twenty-one", and thus it is an aban number.