312220322120 has 64 divisors (see below), whose sum is σ = 803244798720. Its totient is φ = 106994628864.

The previous prime is 312220322101. The next prime is 312220322129. The reversal of 312220322120 is 21223022213.

It is a happy number.

It is a super-2 number, since 2×312220322120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 312220322092 and 312220322101.

It is not an unprimeable number, because it can be changed into a prime (312220322129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303269 + ... + 846411.

It is an arithmetic number, because the mean of its divisors is an integer number (12550699980).

Almost surely, 2^312220322120 is an apocalyptic number.

It is an amenable number.

312220322120 is an abundant number, since it is smaller than the sum of its proper divisors (491024476600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312220322120 is a wasteful number, since it uses less digits than its factorization.

312220322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545214 (or 545210 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 312220322120 its reverse (21223022213), we get a palindrome (333443344333).

The spelling of 312220322120 in words is "three hundred twelve billion, two hundred twenty million, three hundred twenty-two thousand, one hundred twenty".