322101301120 has 128 divisors (see below), whose sum is σ = 830703781440. Its totient is φ = 118973497344.

The previous prime is 322101301117. The next prime is 322101301129. The reversal of 322101301120 is 21103101223.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 322101301094 and 322101301103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322101301129) by changing a digit.

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, 297349 + ... + 855931.

Almost surely, 2^322101301120 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 322101301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415351890720).

322101301120 is an abundant number, since it is smaller than the sum of its proper divisors (508602480320).

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

322101301120 is a wasteful number, since it uses less digits than its factorization.

322101301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558672 (or 558660 counting only the distinct ones).

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

Adding to 322101301120 its reverse (21103101223), we get a palindrome (343204402343).

The spelling of 322101301120 in words is "three hundred twenty-two billion, one hundred one million, three hundred one thousand, one hundred twenty".