321300012000 has 288 divisors, whose sum is σ = 1156972051872. Its totient is φ = 77890560000.

The previous prime is 321300011983. The next prime is 321300012013. The reversal of 321300012000 is 210003123.

It is a happy number.

It is a super-2 number, since 2×321300012000² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1341360 + ... + 1562640.

It is an arithmetic number, because the mean of its divisors is an integer number (4017264069).

Almost surely, 2^321300012000 is an apocalyptic number.

321300012000 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 321300012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578486025936).

321300012000 is an abundant number, since it is smaller than the sum of its proper divisors (835672039872).

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

321300012000 is a wasteful number, since it uses less digits than its factorization.

321300012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221331 (or 221302 counting only the distinct ones).

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

Adding to 321300012000 its reverse (210003123), we get a palindrome (321510015123).

The spelling of 321300012000 in words is "three hundred twenty-one billion, three hundred million, twelve thousand".