321223111113000 has 256 divisors, whose sum is σ = 1023615928857600. Its totient is φ = 83830722662400.

The previous prime is 321223111112993. The next prime is 321223111113077. The reversal of 321223111113000 is 311111322123.

It is a super-2 number, since 2×321223111113000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2077839706 + ... + 2077994294.

It is an arithmetic number, because the mean of its divisors is an integer number (3998499722100).

Almost surely, 2^{321223111113000} is an apocalyptic number.

321223111113000 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 321223111113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511807964428800).

321223111113000 is an abundant number, since it is smaller than the sum of its proper divisors (702392817744600).

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

321223111113000 is a wasteful number, since it uses less digits than its factorization.

321223111113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169397 (or 169383 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 321223111113000 its reverse (311111322123), we get a palindrome (321534222435123).

The spelling of 321223111113000 in words is "three hundred twenty-one trillion, two hundred twenty-three billion, one hundred eleven million, one hundred thirteen thousand".