321012030310020 has 576 divisors, whose sum is σ = 1133702639387136. Its totient is φ = 72009114255360.

The previous prime is 321012030310009. The next prime is 321012030310057. The reversal of 321012030310020 is 20013030210123.

321012030310020 is a `hidden beast` number, since 3 + 210 + 120 + 3 + 0 + 310 + 0 + 20 = 666.

It is a super-2 number, since 2×321012030310020² (a number of 30 digits) contains 22 as substring.

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 = 321012030309975 and 321012030310002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50465651640 + ... + 50465658000.

It is an arithmetic number, because the mean of its divisors is an integer number (1968233748936).

Almost surely, 2^{321012030310020} is an apocalyptic number.

321012030310020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321012030310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566851319693568).

321012030310020 is an abundant number, since it is smaller than the sum of its proper divisors (812690609077116).

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

321012030310020 is a wasteful number, since it uses less digits than its factorization.

321012030310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9100 (or 9095 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 321012030310020 its reverse (20013030210123), we get a palindrome (341025060520143).

The spelling of 321012030310020 in words is "three hundred twenty-one trillion, twelve billion, thirty million, three hundred ten thousand, twenty".