21220000132320 has 432 divisors, whose sum is σ = 79619568458976. Its totient is φ = 5142637209600.

The previous prime is 21220000132259. The next prime is 21220000132321. The reversal of 21220000132320 is 2323100002212.

21220000132320 is a `hidden beast` number, since 2 + 12 + 200 + 0 + 0 + 132 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21220000132293 and 21220000132302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220000132321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 615572685 + ... + 615607155.

It is an arithmetic number, because the mean of its divisors is an integer number (184304556618).

Almost surely, 2^{21220000132320} is an apocalyptic number.

21220000132320 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 21220000132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39809784229488).

21220000132320 is an abundant number, since it is smaller than the sum of its proper divisors (58399568326656).

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

21220000132320 is a wasteful number, since it uses less digits than its factorization.

21220000132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38047 (or 38025 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21220000132320 its reverse (2323100002212), we get a palindrome (23543100134532).

The spelling of 21220000132320 in words is "twenty-one trillion, two hundred twenty billion, one hundred thirty-two thousand, three hundred twenty".