323220105000 has 960 divisors, whose sum is σ = 1256807692800. Its totient is φ = 76826880000.

The previous prime is 323220104993. The next prime is 323220105071. The reversal of 323220105000 is 501022323.

It is a super-2 number, since 2×323220105000² (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 an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 707264772 + ... + 707265228.

It is an arithmetic number, because the mean of its divisors is an integer number (1309174680).

Almost surely, 2^323220105000 is an apocalyptic number.

323220105000 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 323220105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628403846400).

323220105000 is an abundant number, since it is smaller than the sum of its proper divisors (933587587800).

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

323220105000 is a wasteful number, since it uses less digits than its factorization.

323220105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 323220105000 its reverse (501022323), we get a palindrome (323721127323).

The spelling of 323220105000 in words is "three hundred twenty-three billion, two hundred twenty million, one hundred five thousand".