321003122130000 has 600 divisors, whose sum is σ = 1130683445634600. Its totient is φ = 84984583680000.

The previous prime is 321003122129969. The next prime is 321003122130049. The reversal of 321003122130000 is 31221300123.

321003122130000 is a `hidden beast` number, since 32 + 1 + 0 + 0 + 312 + 21 + 300 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 304682750266896 + 16320371863104 = 17455164^2 + 4039848^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35147605434 + ... + 35147614566.

It is an arithmetic number, because the mean of its divisors is an integer number (1884472409391).

Almost surely, 2^{321003122130000} is an apocalyptic number.

321003122130000 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 321003122130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565341722817300).

321003122130000 is an abundant number, since it is smaller than the sum of its proper divisors (809680323504600).

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

321003122130000 is a wasteful number, since it uses less digits than its factorization.

321003122130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11937 (or 11913 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 321003122130000 its reverse (31221300123), we get a palindrome (321034343430123).

The spelling of 321003122130000 in words is "three hundred twenty-one trillion, three billion, one hundred twenty-two million, one hundred thirty thousand".