21414224132312 has 128 divisors (see below), whose sum is σ = 46590224371200. Its totient is φ = 9132186624000.

The previous prime is 21414224132299. The next prime is 21414224132417. The reversal of 21414224132312 is 21323142241412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21383864 + ... + 22362872.

It is an arithmetic number, because the mean of its divisors is an integer number (363986127900).

Almost surely, 2^{21414224132312} is an apocalyptic number.

21414224132312 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 21414224132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23295112185600).

21414224132312 is an abundant number, since it is smaller than the sum of its proper divisors (25176000238888).

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

21414224132312 is a wasteful number, since it uses less digits than its factorization.

21414224132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979257 (or 979253 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

Adding to 21414224132312 its reverse (21323142241412), we get a palindrome (42737366373724).

The spelling of 21414224132312 in words is "twenty-one trillion, four hundred fourteen billion, two hundred twenty-four million, one hundred thirty-two thousand, three hundred twelve".