321112333120 has 56 divisors (see below), whose sum is σ = 767821744008. Its totient is φ = 127911936000.

The previous prime is 321112333093. The next prime is 321112333121. The reversal of 321112333120 is 21333211123.

It can be written as a sum of positive squares in 4 ways, for example, as 31935119616 + 289177213504 = 178704^2 + 537752^2 .

It is a super-2 number, since 2×321112333120² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321112333091 and 321112333100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321112333121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2004781 + ... + 2159020.

Almost surely, 2^321112333120 is an apocalyptic number.

It is an amenable number.

321112333120 is an abundant number, since it is smaller than the sum of its proper divisors (446709410888).

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

321112333120 is a wasteful number, since it uses less digits than its factorization.

321112333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4164059 (or 4164049 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 321112333120 its reverse (21333211123), we get a palindrome (342445544243).

The spelling of 321112333120 in words is "three hundred twenty-one billion, one hundred twelve million, three hundred thirty-three thousand, one hundred twenty".