321220113120 has 144 divisors (see below), whose sum is σ = 1097830253520. Its totient is φ = 85528461312.

The previous prime is 321220113113. The next prime is 321220113131. The reversal of 321220113120 is 21311022123.

321220113120 is a `hidden beast` number, since 321 + 2 + 20 + 11 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×321220113120² (a number of 24 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 = 321220113093 and 321220113102.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 779712 + ... + 1118208.

It is an arithmetic number, because the mean of its divisors is an integer number (7623821205).

Almost surely, 2^321220113120 is an apocalyptic number.

321220113120 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 321220113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548915126760).

321220113120 is an abundant number, since it is smaller than the sum of its proper divisors (776610140400).

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

321220113120 is a wasteful number, since it uses less digits than its factorization.

321220113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339177 (or 339166 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 321220113120 its reverse (21311022123), we get a palindrome (342531135243).

The spelling of 321220113120 in words is "three hundred twenty-one billion, two hundred twenty million, one hundred thirteen thousand, one hundred twenty".