322130201120 has 384 divisors, whose sum is σ = 997819554816. Its totient is φ = 95365103616.

The previous prime is 322130201117. The next prime is 322130201131. The reversal of 322130201120 is 21102031223.

It is a super-2 number, since 2×322130201120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41331944 + ... + 41339736.

It is an arithmetic number, because the mean of its divisors is an integer number (2598488424).

Almost surely, 2^322130201120 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 322130201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498909777408).

322130201120 is an abundant number, since it is smaller than the sum of its proper divisors (675689353696).

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

322130201120 is a wasteful number, since it uses less digits than its factorization.

322130201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8012 (or 8004 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 322130201120 its reverse (21102031223), we get a palindrome (343232232343).

The spelling of 322130201120 in words is "three hundred twenty-two billion, one hundred thirty million, two hundred one thousand, one hundred twenty".