21220132221120 has 672 divisors, whose sum is σ = 82286734567680. Its totient is φ = 4613147320320.

The previous prime is 21220132221103. The next prime is 21220132221133. The reversal of 21220132221120 is 2112223102212.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×21220132221120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 91282635 + ... + 91514805.

Almost surely, 2^{21220132221120} is an apocalyptic number.

21220132221120 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 21220132221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41143367283840).

21220132221120 is an abundant number, since it is smaller than the sum of its proper divisors (61066602346560).

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

21220132221120 is a wasteful number, since it uses less digits than its factorization.

21220132221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232301 (or 232284 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 21220132221120 its reverse (2112223102212), we get a palindrome (23332355323332).

The spelling of 21220132221120 in words is "twenty-one trillion, two hundred twenty billion, one hundred thirty-two million, two hundred twenty-one thousand, one hundred twenty".