21132304120320 has 320 divisors, whose sum is σ = 73997905259520. Its totient is φ = 5120903610368.

The previous prime is 21132304120309. The next prime is 21132304120321. The reversal of 21132304120320 is 2302140323112.

It is a tau number, because it is divible by the number of its divisors (320).

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 (21132304120321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 995569 + ... + 6576911.

It is an arithmetic number, because the mean of its divisors is an integer number (231243453936).

Almost surely, 2^{21132304120320} is an apocalyptic number.

21132304120320 is a gapful number since it is divisible by the number (20) 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 21132304120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36998952629760).

21132304120320 is an abundant number, since it is smaller than the sum of its proper divisors (52865601139200).

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

21132304120320 is a wasteful number, since it uses less digits than its factorization.

21132304120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5581415 (or 5581399 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21132304120320 its reverse (2302140323112), we get a palindrome (23434444443432).

The spelling of 21132304120320 in words is "twenty-one trillion, one hundred thirty-two billion, three hundred four million, one hundred twenty thousand, three hundred twenty".