21124432223232 has 352 divisors, whose sum is σ = 61179425788992. Its totient is φ = 6441670803456.

The previous prime is 21124432223231. The next prime is 21124432223267. The reversal of 21124432223232 is 23232223442112.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21124432223193 and 21124432223202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21124432223231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3682136268 + ... + 3682142004.

Almost surely, 2^{21124432223232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21124432223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30589712894496).

21124432223232 is an abundant number, since it is smaller than the sum of its proper divisors (40054993565760).

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

21124432223232 is a wasteful number, since it uses less digits than its factorization.

21124432223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6583 (or 6565 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

Adding to 21124432223232 its reverse (23232223442112), we get a palindrome (44356655665344).

The spelling of 21124432223232 in words is "twenty-one trillion, one hundred twenty-four billion, four hundred thirty-two million, two hundred twenty-three thousand, two hundred thirty-two".