321214424320020 has 96 divisors (see below), whose sum is σ = 1121330354006016. Its totient is φ = 66745854403200.

The previous prime is 321214424320003. The next prime is 321214424320117. The reversal of 321214424320020 is 20023424412123.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 321214424320020.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 34763461216 + ... + 34763470455.

It is an arithmetic number, because the mean of its divisors is an integer number (11680524520896).

Almost surely, 2^{321214424320020} is an apocalyptic number.

321214424320020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321214424320020 is an abundant number, since it is smaller than the sum of its proper divisors (800115929685996).

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

321214424320020 is a wasteful number, since it uses less digits than its factorization.

321214424320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69526931701 (or 69526931699 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 321214424320020 its reverse (20023424412123), we get a palindrome (341237848732143).

The spelling of 321214424320020 in words is "three hundred twenty-one trillion, two hundred fourteen billion, four hundred twenty-four million, three hundred twenty thousand, twenty".