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11220122002120 = 2352234018273793
BaseRepresentation
bin1010001101000110001101…
…1000101110001011001000
31110201122002121000222111121
42203101203120232023020
52432312302213031440
635510241454005024
72235425040264463
oct243214330561310
943648077028447
1011220122002120
1136364773a9129
1213126501a6774
1363508c496155
142ab0b1c1a2da
15146cdb44834a
hexa346362e2c8

11220122002120 has 128 divisors (see below), whose sum is σ = 25459170186240. Its totient is φ = 4450218393600.

The previous prime is 11220122002109. The next prime is 11220122002189. The reversal of 11220122002120 is 2120022102211.

It is a happy number.

It is a super-2 number, since 2×112201220021202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11220122002094 and 11220122002103.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2958110944 + ... + 2958114736.

It is an arithmetic number, because the mean of its divisors is an integer number (198899767080).

Almost surely, 211220122002120 is an apocalyptic number.

11220122002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220122002120 is an abundant number, since it is smaller than the sum of its proper divisors (14239048184120).

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

11220122002120 is a wasteful number, since it uses less digits than its factorization.

11220122002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5255 (or 5251 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11220122002120 its reverse (2120022102211), we get a palindrome (13340144104331).

The spelling of 11220122002120 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 223 401 446 802 827 892 1115 1604 1654 1784 2005 2230 3208 3308 3793 4010 4135 4460 6616 7586 8020 8270 8920 15172 16040 16540 18965 30344 33080 37930 75860 89423 151720 178846 184421 331627 357692 368842 447115 663254 715384 737684 845839 894230 922105 1326508 1475368 1520993 1658135 1691678 1788460 1844210 2653016 3041986 3136811 3316270 3383356 3576920 3688420 4229195 6083972 6273622 6632540 6766712 7376840 7604965 8458390 12167944 12547244 13265080 15209930 15684055 16916780 25094488 30419860 31368110 33833560 60839720 62736220 73952821 125472440 147905642 295811284 339181439 369764105 591622568 678362878 699508853 739528210 1257861211 1356725756 1399017706 1479056420 1695907195 2515722422 2713451512 2798035412 2958112840 3391814390 3497544265 5031444844 5596070824 6289306055 6783628780 6995088530 10062889688 12578612110 13567257560 13990177060 25157224220 27980354120 50314448440 280503050053 561006100106 1122012200212 1402515250265 2244024400424 2805030500530 5610061001060 11220122002120