21324411442312 has 64 divisors (see below), whose sum is σ = 44454236175360. Its totient is φ = 9507217574400.

The previous prime is 21324411442309. The next prime is 21324411442333.

21324411442312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21324411442312² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15141468 + ... + 16489780.

It is an arithmetic number, because the mean of its divisors is an integer number (694597440240).

Almost surely, 2^{21324411442312} is an apocalyptic number.

21324411442312 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 21324411442312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22227118087680).

21324411442312 is an abundant number, since it is smaller than the sum of its proper divisors (23129824733048).

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

21324411442312 is a wasteful number, since it uses less digits than its factorization.

21324411442312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351774 (or 1351770 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 2132441 and 1442312, that added together give a palindrome (3574753).

The spelling of 21324411442312 in words is "twenty-one trillion, three hundred twenty-four billion, four hundred eleven million, four hundred forty-two thousand, three hundred twelve".