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12012200211220 = 22511349503311033
BaseRepresentation
bin1010111011001100111011…
…1011010011001100010100
31120112100120212221001022021
42232303032323103030110
53033301441223224340
641314154550542524
72346565343053306
oct256631673231424
946470525831267
1012012200211220
1139113889530a0
121420065667a44
13691990183891
142d7572035976
1515c6e903ce4a
hexaecceed3314

12012200211220 has 96 divisors (see below), whose sum is σ = 27652664390400. Its totient is φ = 4346883701760.

The previous prime is 12012200211139. The next prime is 12012200211227. The reversal of 12012200211220 is 2211200221021.

It is a happy number.

It is a super-2 number, since 2×120122002112202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12012200211194 and 12012200211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012200211227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38464824 + ... + 38775856.

It is an arithmetic number, because the mean of its divisors is an integer number (288048587400).

Almost surely, 212012200211220 is an apocalyptic number.

12012200211220 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 12012200211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13826332195200).

12012200211220 is an abundant number, since it is smaller than the sum of its proper divisors (15640464179180).

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

12012200211220 is a wasteful number, since it uses less digits than its factorization.

12012200211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311905 (or 311903 counting only the distinct ones).

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

Adding to 12012200211220 its reverse (2211200221021), we get a palindrome (14223400432241).

The spelling of 12012200211220 in words is "twelve trillion, twelve billion, two hundred million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 349 503 698 1006 1396 1745 2012 2515 3490 3839 5030 5533 6980 7678 10060 11066 15356 19195 22132 27665 38390 55330 76780 110660 175547 311033 351094 622066 702188 877735 1244132 1555165 1755470 1931017 3110330 3421363 3510940 3862034 6220660 6842726 7724068 9655085 13685452 17106815 19310170 34213630 38620340 68427260 108550517 156449599 217101034 312899198 434202068 542752585 625798396 782247995 1085505170 1194055687 1564495990 1720945589 2171010340 2388111374 3128991980 3441891178 4776222748 5970278435 6883782356 8604727945 11940556870 17209455890 23881113740 34418911780 54600910051 109201820102 218403640204 273004550255 546009100510 600610010561 1092018201020 1201220021122 2402440042244 3003050052805 6006100105610 12012200211220