321220014014112 has 96 divisors (see below), whose sum is σ = 852702482016000. Its totient is φ = 105867068448768.

The previous prime is 321220014014059. The next prime is 321220014014129. The reversal of 321220014014112 is 211410410022123.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291030264 + ... + 292131912.

It is an arithmetic number, because the mean of its divisors is an integer number (8882317521000).

Almost surely, 2^{321220014014112} is an apocalyptic number.

321220014014112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

321220014014112 is an abundant number, since it is smaller than the sum of its proper divisors (531482468001888).

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

321220014014112 is a wasteful number, since it uses less digits than its factorization.

321220014014112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135878 (or 1135870 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 321220014014112 its reverse (211410410022123), we get a palindrome (532630424036235).

The spelling of 321220014014112 in words is "three hundred twenty-one trillion, two hundred twenty billion, fourteen million, fourteen thousand, one hundred twelve".