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12011100211220 = 22511791913618259
BaseRepresentation
bin1010111011001000110101…
…0111001000100000010100
31120112020202020002020222112
42232302031113020200110
53033242213123224340
641313453454050152
72346526155160235
oct256621527104024
946466666066875
1012011100211220
113910973a38890
12141b9b91a9958
13691846302bc6
142d74a9cd708c
1515c6826a7065
hexaec8d5c8814

12011100211220 has 96 divisors (see below), whose sum is σ = 28010542694400. Its totient is φ = 4289806684800.

The previous prime is 12011100211219. The next prime is 12011100211223. The reversal of 12011100211220 is 2211200111021.

It is a super-2 number, since 2×120111002112202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12011100211195 and 12011100211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011100211223) 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 31 ways as a sum of consecutive naturals, for example, 1510451 + ... + 5128709.

It is an arithmetic number, because the mean of its divisors is an integer number (291776486400).

Almost surely, 212011100211220 is an apocalyptic number.

12011100211220 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 12011100211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14005271347200).

12011100211220 is an abundant number, since it is smaller than the sum of its proper divisors (15999442483180).

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

12011100211220 is a wasteful number, since it uses less digits than its factorization.

12011100211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618549 (or 3618547 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12011100211220 its reverse (2211200111021), we get a palindrome (14222300322241).

The spelling of 12011100211220 in words is "twelve trillion, eleven billion, one hundred million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 191 220 316 382 395 764 790 869 955 1580 1738 1910 2101 3476 3820 4202 4345 8404 8690 10505 15089 17380 21010 30178 42020 60356 75445 150890 165979 301780 331958 663916 829895 1659790 3319580 3618259 7236518 14473036 18091295 36182590 39800849 72365180 79601698 159203396 199004245 285842461 398008490 571684922 691087469 796016980 1143369844 1382174938 1429212305 2764349876 2858424610 3144267071 3455437345 5716849220 6288534142 6910874690 7601962159 12577068284 13821749380 15203924318 15721335355 30407848636 31442670710 38009810795 54595910051 62885341420 76019621590 109191820102 152039243180 218383640204 272979550255 545959100510 600555010561 1091918201020 1201110021122 2402220042244 3002775052805 6005550105610 12011100211220