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12201212100 = 22352711528191
BaseRepresentation
bin10110101110011111…
…11011100011000100
31011111022201210110110
423113033323203010
5144442002241400
65334414153020
7611233406640
oct132717734304
934438653413
1012201212100
1151a12a2270
1224461b2770
1311c5a5473c
1483a637c20
154b6268e50
hex2d73fb8c4

12201212100 has 144 divisors (see below), whose sum is σ = 44013182976. Its totient is φ = 2535312000.

The previous prime is 12201212087. The next prime is 12201212113. The reversal of 12201212100 is 121210221.

It is an interprime number because it is at equal distance from previous prime (12201212087) and next prime (12201212113).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240996 + ... + 287195.

It is an arithmetic number, because the mean of its divisors is an integer number (305647104).

Almost surely, 212201212100 is an apocalyptic number.

12201212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201212100 is an abundant number, since it is smaller than the sum of its proper divisors (31811970876).

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

12201212100 is a wasteful number, since it uses less digits than its factorization.

12201212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528226 (or 528219 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12201212100 its reverse (121210221), we get a palindrome (12322422321).

It can be divided in two parts, 1220121 and 2100, that added together give a palindrome (1222221).

The spelling of 12201212100 in words is "twelve billion, two hundred one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 528191 1056382 1584573 2112764 2640955 3169146 3697337 5281910 5810101 6338292 7394674 7922865 10563820 11092011 11620202 13204775 14789348 15845730 17430303 18486685 22184022 23240404 26409550 29050505 31691460 34860606 36973370 39614325 40670707 44368044 52819100 55460055 58101010 69721212 73946740 79228650 81341414 87151515 92433425 110920110 116202020 122012121 145252525 158457300 162682828 174303030 184866850 203353535 221840220 244024242 277300275 290505050 348606060 369733700 406707070 435757575 488048484 554600550 581010100 610060605 813414140 871515150 1016767675 1109201100 1220121210 1743030300 2033535350 2440242420 3050303025 4067070700 6100606050 12201212100