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12201102012200 = 2352194362773597
BaseRepresentation
bin1011000110001100101001…
…0110011110111100101000
31121012102011202222210211112
42301203022112132330220
53044400324103342300
641541035304045452
72366333452633043
oct261431226367450
947172152883745
1012201102012200
113984505005092
1214507a4463888
136a673611558a
143027721a3c5a
151625a2ec6e35
hexb18ca59ef28

12201102012200 has 96 divisors (see below), whose sum is σ = 29861681959200. Its totient is φ = 4623406698240.

The previous prime is 12201102012193. The next prime is 12201102012221. The reversal of 12201102012200 is 221020110221.

12201102012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122011020122002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165745802 + ... + 165819398.

It is an arithmetic number, because the mean of its divisors is an integer number (311059187075).

Almost surely, 212201102012200 is an apocalyptic number.

12201102012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201102012200 is an abundant number, since it is smaller than the sum of its proper divisors (17660579947000).

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

12201102012200 is a wasteful number, since it uses less digits than its factorization.

12201102012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117259 (or 117250 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12201102012200 its reverse (221020110221), we get a palindrome (12422122122421).

The spelling of 12201102012200 in words is "twelve trillion, two hundred one billion, one hundred two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 43627 73597 87254 147194 174508 218135 294388 349016 367985 436270 588776 735970 828913 872540 1090675 1398343 1471940 1657826 1745080 1839925 2181350 2796686 2943880 3315652 3679850 4144565 4362700 5593372 6631304 6991715 7359700 8289130 8725400 11186744 13983430 14719400 16578260 20722825 27966860 33156520 34958575 41445650 55933720 69917150 82891300 139834300 165782600 279668600 3210816319 6421632638 12843265276 16054081595 25686530552 32108163190 61005510061 64216326380 80270407975 122011020122 128432652760 160540815950 244022040244 305027550305 321081631900 488044080488 610055100610 642163263800 1220110201220 1525137751525 2440220402440 3050275503050 6100551006100 12201102012200