21321300312312 has 512 divisors, whose sum is σ = 76937682124800. Its totient is φ = 4739901235200.

The previous prime is 21321300312233. The next prime is 21321300312317.

21321300312312 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21321300312317) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20956512 + ... + 21950352.

It is an arithmetic number, because the mean of its divisors is an integer number (150268910400).

Almost surely, 2^{21321300312312} is an apocalyptic number.

21321300312312 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 21321300312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38468841062400).

21321300312312 is an abundant number, since it is smaller than the sum of its proper divisors (55616381812488).

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

21321300312312 is a wasteful number, since it uses less digits than its factorization.

21321300312312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993947 (or 993943 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, 21321300 and 312312, that added together give a palindrome (21633612).

The spelling of 21321300312312 in words is "twenty-one trillion, three hundred twenty-one billion, three hundred million, three hundred twelve thousand, three hundred twelve".