312223120 has 40 divisors (see below), whose sum is σ = 791913600. Its totient is φ = 113535360.

The previous prime is 312223081. The next prime is 312223123. The reversal of 312223120 is 21322213.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 312223094 and 312223103.

It is not an unprimeable number, because it can be changed into a prime (312223123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176520 + ... + 178279.

It is an arithmetic number, because the mean of its divisors is an integer number (19797840).

Almost surely, 2^312223120 is an apocalyptic number.

It is an amenable number.

312223120 is an abundant number, since it is smaller than the sum of its proper divisors (479690480).

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

312223120 is a wasteful number, since it uses less digits than its factorization.

312223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354823 (or 354817 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 312223120 is about 17669.8364451967. The cubic root of 312223120 is about 678.4039268084.

Adding to 312223120 its reverse (21322213), we get a palindrome (333545333).

The spelling of 312223120 in words is "three hundred twelve million, two hundred twenty-three thousand, one hundred twenty".