21122321121132 has 192 divisors, whose sum is σ = 62776901591040. Its totient is φ = 5368638528000.

The previous prime is 21122321121131. The next prime is 21122321121149. The reversal of 21122321121132 is 23112112322112.

It is a super-2 number, since 2×21122321121132² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21122321121131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8218344 + ... + 10477872.

It is an arithmetic number, because the mean of its divisors is an integer number (326963029120).

Almost surely, 2^{21122321121132} is an apocalyptic number.

21122321121132 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 21122321121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31388450795520).

21122321121132 is an abundant number, since it is smaller than the sum of its proper divisors (41654580469908).

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

21122321121132 is a wasteful number, since it uses less digits than its factorization.

21122321121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259772 (or 2259770 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 21122321121132 its reverse (23112112322112), we get a palindrome (44234433443244).

The spelling of 21122321121132 in words is "twenty-one trillion, one hundred twenty-two billion, three hundred twenty-one million, one hundred twenty-one thousand, one hundred thirty-two".