21312300321312 has 384 divisors, whose sum is σ = 77537745911808. Its totient is φ = 4945007923200.

The previous prime is 21312300321253. The next prime is 21312300321313.

21312300321312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21312300321313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 598143 + ... + 6556094.

It is an arithmetic number, because the mean of its divisors is an integer number (201921213312).

Almost surely, 2^{21312300321312} is an apocalyptic number.

21312300321312 is a gapful number since it is divisible by the number (22) 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 21312300321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38768872955904).

21312300321312 is an abundant number, since it is smaller than the sum of its proper divisors (56225445590496).

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

21312300321312 is a wasteful number, since it uses less digits than its factorization.

21312300321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7154312 (or 7154304 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 21312300 and 321312, that added together give a palindrome (21633612).

The spelling of 21312300321312 in words is "twenty-one trillion, three hundred twelve billion, three hundred million, three hundred twenty-one thousand, three hundred twelve".