321121311000 has 256 divisors, whose sum is σ = 1145813160960. Its totient is φ = 73348761600.

The previous prime is 321121310981. The next prime is 321121311047. The reversal of 321121311000 is 113121123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 36682624 + ... + 36691376.

It is an arithmetic number, because the mean of its divisors is an integer number (4475832660).

Almost surely, 2^321121311000 is an apocalyptic number.

321121311000 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 321121311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572906580480).

321121311000 is an abundant number, since it is smaller than the sum of its proper divisors (824691849960).

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

321121311000 is a wasteful number, since it uses less digits than its factorization.

321121311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10531 (or 10517 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 321121311000 its reverse (113121123), we get a palindrome (321234432123).

The spelling of 321121311000 in words is "three hundred twenty-one billion, one hundred twenty-one million, three hundred eleven thousand".