312002021221 has 6 divisors (see below), whose sum is σ = 342944370566. Its totient is φ = 283638201000.

The previous prime is 312002021203. The next prime is 312002021239. The reversal of 312002021221 is 122120200213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312002021203) and next prime (312002021239).

It can be written as a sum of positive squares in only one way, i.e., 224614384225 + 87387636996 = 473935^2 + 295614^2 .

It is not a de Polignac number, because 312002021221 - 2²⁷ = 311867803493 is a prime.

It is a super-2 number, since 2×312002021221² (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 = 312002021195 and 312002021204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312002021621) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1289264430 + ... + 1289264671.

Almost surely, 2^312002021221 is an apocalyptic number.

It is an amenable number.

312002021221 is a deficient number, since it is larger than the sum of its proper divisors (30942349345).

312002021221 is a wasteful number, since it uses less digits than its factorization.

312002021221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578529123 (or 2578529112 counting only the distinct ones).

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

Adding to 312002021221 its reverse (122120200213), we get a palindrome (434122221434).

The spelling of 312002021221 in words is "three hundred twelve billion, two million, twenty-one thousand, two hundred twenty-one".