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12211112012200 = 2352175696311957
BaseRepresentation
bin1011000110110001111011…
…1111100110100110101000
31121020101000101120111101021
42301230132333212212220
53100031324133342300
641545412445102224
72400136511344363
oct261543677464650
947211011514337
1012211112012200
11398878142a262
121452718857974
136a766cbc45ba
143030417ab0da
1516298bbacd1a
hexb1b1efe69a8

12211112012200 has 96 divisors (see below), whose sum is σ = 30113720422200. Its totient is φ = 4589044490240.

The previous prime is 12211112012161. The next prime is 12211112012201. The reversal of 12211112012200 is 221021111221.

It can be written as a sum of positive squares in 12 ways, for example, as 2083709572036 + 10127402440164 = 1443506^2 + 3182358^2 .

It is a super-2 number, since 2×122111120122002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211112012201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1221379 + ... + 5090578.

Almost surely, 212211112012200 is an apocalyptic number.

12211112012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211112012200 is an abundant number, since it is smaller than the sum of its proper divisors (17902608410000).

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

12211112012200 is a wasteful number, since it uses less digits than its factorization.

12211112012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312559 (or 6312550 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12211112012200 its reverse (221021111221), we get a palindrome (12432133123421).

The spelling of 12211112012200 in words is "twelve trillion, two hundred eleven billion, one hundred twelve million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 569 680 850 1138 1700 2276 2845 3400 4552 5690 9673 11380 14225 19346 22760 28450 38692 48365 56900 77384 96730 113800 193460 241825 386920 483650 967300 1934600 6311957 12623914 25247828 31559785 50495656 63119570 107303269 126239140 157798925 214606538 252478280 315597850 429213076 536516345 631195700 858426152 1073032690 1262391400 2146065380 2682581725 3591503533 4292130760 5365163450 7183007066 10730326900 14366014132 17957517665 21460653800 28732028264 35915035330 61055560061 71830070660 89787588325 122111120122 143660141320 179575176650 244222240244 305277800305 359150353300 488444480488 610555600610 718300706600 1221111201220 1526389001525 2442222402440 3052778003050 6105556006100 12211112012200