321132000000 has 504 divisors, whose sum is σ = 1221274367488. Its totient is φ = 73382400000.

The previous prime is 321131999983. The next prime is 321132000001. The reversal of 321132000000 is 231123.

It is a happy number.

It is a super-2 number, since 2×321132000000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 321132000000.

It is not an unprimeable number, because it can be changed into a prime (321132000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 83998089 + ... + 84001911.

Almost surely, 2^321132000000 is an apocalyptic number.

321132000000 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 321132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610637183744).

321132000000 is an abundant number, since it is smaller than the sum of its proper divisors (900142367488).

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

321132000000 is an frugal number, since it uses more digits than its factorization.

321132000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 321132000000 its reverse (231123), we get a palindrome (321132231123).

The spelling of 321132000000 in words is "three hundred twenty-one billion, one hundred thirty-two million", and thus it is an aban number.