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13320212221200 = 24352293138931741
BaseRepresentation
bin1100000111010101101010…
…0001001000110100010000
31202011101210111021210000210
43001311122201020310100
53221214243312034300
644155115423444120
72543232163515453
oct301653241106420
952141714253023
1013320212221200
1142760855a5a35
1215b1668156640
13758124137811
143409b76d349a
15181751532050
hexc1d5a848d10

13320212221200 has 480 divisors, whose sum is σ = 45682883251200. Its totient is φ = 3310304256000.

The previous prime is 13320212221181. The next prime is 13320212221201. The reversal of 13320212221200 is 212221202331.

It is not an unprimeable number, because it can be changed into a prime (13320212221201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 419637330 + ... + 419669070.

It is an arithmetic number, because the mean of its divisors is an integer number (95172673440).

Almost surely, 213320212221200 is an apocalyptic number.

13320212221200 is a gapful number since it is divisible by the number (10) 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 13320212221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22841441625600).

13320212221200 is an abundant number, since it is smaller than the sum of its proper divisors (32362671030000).

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

13320212221200 is a wasteful number, since it uses less digits than its factorization.

13320212221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32211 (or 32200 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13320212221200 its reverse (212221202331), we get a palindrome (13532433423531).

The spelling of 13320212221200 in words is "thirteen trillion, three hundred twenty billion, two hundred twelve million, two hundred twenty-one thousand, two hundred".