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12011220110200 = 23522913731508303
BaseRepresentation
bin1010111011001001010010…
…0000100000101101111000
31120112021001120200202110111
42232302110200200231320
53033242434322011300
641313513415554104
72346532142251033
oct256622440405570
946467046622414
1012011220110200
113910a25690753
12141ba3138b934
136918650c2b4c
142d74bbbc801a
1515c68ce8c9ba
hexaec94820b78

12011220110200 has 96 divisors (see below), whose sum is σ = 28910115259200. Its totient is φ = 4635434370560.

The previous prime is 12011220110189. The next prime is 12011220110209. The reversal of 12011220110200 is 201102211021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011220110209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7209249 + ... + 8717551.

It is an arithmetic number, because the mean of its divisors is an integer number (301147033950).

Almost surely, 212011220110200 is an apocalyptic number.

12011220110200 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 12011220110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14455057629600).

12011220110200 is an abundant number, since it is smaller than the sum of its proper divisors (16898895149000).

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

12011220110200 is a wasteful number, since it uses less digits than its factorization.

12011220110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509721 (or 1509712 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12011220110200 its reverse (201102211021), we get a palindrome (12212322321221).

The spelling of 12011220110200 in words is "twelve trillion, eleven billion, two hundred twenty million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1373 1450 2746 2900 5492 5800 6865 10984 13730 27460 34325 39817 54920 68650 79634 137300 159268 199085 274600 318536 398170 796340 995425 1508303 1592680 1990850 3016606 3981700 6033212 7541515 7963400 12066424 15083030 30166060 37707575 43740787 60332120 75415150 87481574 150830300 174963148 218703935 301660600 349926296 437407870 874815740 1093519675 1749631480 2070900019 2187039350 4141800038 4374078700 8283600076 8748157400 10354500095 16567200152 20709000190 41418000380 51772500475 60056100551 82836000760 103545000950 120112201102 207090001900 240224402204 300280502755 414180003800 480448804408 600561005510 1201122011020 1501402513775 2402244022040 3002805027550 6005610055100 12011220110200