321020011312 has 160 divisors (see below), whose sum is σ = 835606517760. Its totient is φ = 115381877760.

The previous prime is 321020011303. The next prime is 321020011321. The reversal of 321020011312 is 213110020123.

It is an interprime number because it is at equal distance from previous prime (321020011303) and next prime (321020011321).

It is a super-2 number, since 2×321020011312² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 31594489 + ... + 31604647.

It is an arithmetic number, because the mean of its divisors is an integer number (5222540736).

Almost surely, 2^321020011312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321020011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417803258880).

321020011312 is an abundant number, since it is smaller than the sum of its proper divisors (514586506448).

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

321020011312 is a wasteful number, since it uses less digits than its factorization.

321020011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12171 (or 12165 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 321020011312 its reverse (213110020123), we get a palindrome (534130031435).

The spelling of 321020011312 in words is "three hundred twenty-one billion, twenty million, eleven thousand, three hundred twelve".