312221103120 has 100 divisors (see below), whose sum is σ = 1084390168620. Its totient is φ = 83258959104.

The previous prime is 312221103119. The next prime is 312221103163. The reversal of 312221103120 is 21301122213.

312221103120 is a `hidden beast` number, since 312 + 221 + 10 + 3 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81313944336 + 230907158784 = 285156^2 + 480528^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312221103093 and 312221103102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24084655 + ... + 24097614.

Almost surely, 2^312221103120 is an apocalyptic number.

312221103120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312221103120 is an abundant number, since it is smaller than the sum of its proper divisors (772169065500).

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

312221103120 is a wasteful number, since it uses less digits than its factorization.

312221103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48182294 (or 48182279 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312221103120 its reverse (21301122213), we get a palindrome (333522225333).

The spelling of 312221103120 in words is "three hundred twelve billion, two hundred twenty-one million, one hundred three thousand, one hundred twenty".