21330122213120 has 288 divisors, whose sum is σ = 61846895779200. Its totient is φ = 6880669728768.

The previous prime is 21330122213119. The next prime is 21330122213177. The reversal of 21330122213120 is 2131222103312.

It is a super-2 number, since 2×21330122213120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482679986 + ... + 482724174.

It is an arithmetic number, because the mean of its divisors is an integer number (214746165900).

Almost surely, 2^{21330122213120} is an apocalyptic number.

21330122213120 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 21330122213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30923447889600).

21330122213120 is an abundant number, since it is smaller than the sum of its proper divisors (40516773566080).

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

21330122213120 is a wasteful number, since it uses less digits than its factorization.

21330122213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47403 (or 47389 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 21330122213120 its reverse (2131222103312), we get a palindrome (23461344316432).

The spelling of 21330122213120 in words is "twenty-one trillion, three hundred thirty billion, one hundred twenty-two million, two hundred thirteen thousand, one hundred twenty".