21330222033032 has 128 divisors (see below), whose sum is σ = 44635724904960. Its totient is φ = 9475097848320.

The previous prime is 21330222033007. The next prime is 21330222033037. The reversal of 21330222033032 is 23033022203312.

It is a super-2 number, since 2×21330222033032² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21330222032992 and 21330222033010.

It is not an unprimeable number, because it can be changed into a prime (21330222033037) 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, 283145723 + ... + 283221045.

It is an arithmetic number, because the mean of its divisors is an integer number (348716600820).

Almost surely, 2^{21330222033032} is an apocalyptic number.

21330222033032 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 21330222033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22317862452480).

21330222033032 is an abundant number, since it is smaller than the sum of its proper divisors (23305502871928).

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

21330222033032 is a wasteful number, since it uses less digits than its factorization.

21330222033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75843 (or 75839 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 21330222033032 its reverse (23033022203312), we get a palindrome (44363244236344).

The spelling of 21330222033032 in words is "twenty-one trillion, three hundred thirty billion, two hundred twenty-two million, thirty-three thousand, thirty-two".