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12222011002201 = 7111327143930133
BaseRepresentation
bin1011000111011010100010…
…0111111100110101011001
31121021102010221221112221121
42301312220213330311121
53100221134304032301
641554414144205241
72401003553260420
oct261665047746531
947242127845847
1012222011002201
113992364646810
12145485a909821
136a86b8c13800
143037970a62b7
15162dc89483a1
hexb1da89fcd59

12222011002201 has 96 divisors (see below), whose sum is σ = 16771205468160. Its totient is φ = 8647209043200.

The previous prime is 12222011002193. The next prime is 12222011002219. The reversal of 12222011002201 is 10220011022221.

It is a happy number.

It is not a de Polignac number, because 12222011002201 - 23 = 12222011002193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12222011002001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 405587131 + ... + 405617263.

It is an arithmetic number, because the mean of its divisors is an integer number (174700056960).

Almost surely, 212222011002201 is an apocalyptic number.

12222011002201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12222011002201 is a deficient number, since it is larger than the sum of its proper divisors (4549194465959).

12222011002201 is a wasteful number, since it uses less digits than its factorization.

12222011002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30687 (or 30674 counting only the distinct ones).

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

Adding to 12222011002201 its reverse (10220011022221), we get a palindrome (22442022024422).

The spelling of 12222011002201 in words is "twelve trillion, two hundred twenty-two billion, eleven million, two thousand, two hundred one".

Divisors: 1 7 11 13 71 77 91 143 169 439 497 781 923 1001 1183 1859 3073 4829 5467 5707 6461 10153 11999 13013 30133 31169 33803 39949 62777 71071 74191 83993 131989 210931 218183 331463 342859 391729 405197 439439 519337 816101 923923 2139443 2320241 2400013 2742103 2836379 4309019 4457167 5092477 5267561 5712707 13228387 14976101 23533873 27812759 30163133 31200169 35647339 36872927 56017247 57943171 92598709 145512257 164737111 171969031 194689313 305940349 361565867 392120729 405602197 939215477 1018585799 1203783217 1891659341 2141582443 2235597403 2530961069 3977224537 6574508339 10331370247 12209801201 13241615387 15649181821 24591571433 27840571759 72319591729 85468608407 134307813211 158727415613 172141000031 940154692477 1111091909291 1746001571743 12222011002201