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12211120230200 = 23523118471066343
BaseRepresentation
bin1011000110110001111101…
…1110111100111100111000
31121020101000222001000100122
42301230133132330330320
53100031333234331300
641545413341152412
72400136641242513
oct261543736747470
947211028030318
1012211120230200
1139887860325a1
12145271b55b708
136a7671811018
14303042909d7a
1516298c782c85
hexb1b1f7bcf38

12211120230200 has 96 divisors (see below), whose sum is σ = 29322583234560. Its totient is φ = 4724321596800.

The previous prime is 12211120230181. The next prime is 12211120230209. The reversal of 12211120230200 is 203202111221.

It is a super-2 number, since 2×122111202302002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211120230209) 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, 10918229 + ... + 11984571.

It is an arithmetic number, because the mean of its divisors is an integer number (305443575360).

Almost surely, 212211120230200 is an apocalyptic number.

12211120230200 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 12211120230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14661291617280).

12211120230200 is an abundant number, since it is smaller than the sum of its proper divisors (17111463004360).

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

12211120230200 is a wasteful number, since it uses less digits than its factorization.

12211120230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068237 (or 1068228 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12211120230200 its reverse (203202111221), we get a palindrome (12414322341421).

The spelling of 12211120230200 in words is "twelve trillion, two hundred eleven billion, one hundred twenty million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 1847 3100 3694 6200 7388 9235 14776 18470 36940 46175 57257 73880 92350 114514 184700 229028 286285 369400 458056 572570 1066343 1145140 1431425 2132686 2290280 2862850 4265372 5331715 5725700 8530744 10663430 11451400 21326860 26658575 33056633 42653720 53317150 66113266 106634300 132226532 165283165 213268600 264453064 330566330 661132660 826415825 1322265320 1652831650 1969535521 3305663300 3939071042 6611326600 7878142084 9847677605 15756284168 19695355210 39390710420 49238388025 61055601151 78781420840 98476776050 122111202302 196953552100 244222404604 305278005755 393907104200 488444809208 610556011510 1221112023020 1526390028775 2442224046040 3052780057550 6105560115100 12211120230200