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12221001220110 = 2353155728198369
BaseRepresentation
bin1011000111010110110001…
…1011111100000000001110
31121021022112120212022022220
42301311230123330000032
53100212102303020420
641554130033120210
72400636542255334
oct261655433740016
947238476768286
1012221001220110
113991996651561
1214546186b9066
136a8587960007
143036dcd2db54
15162d69e83840
hexb1d6c6fc00e

12221001220110 has 128 divisors (see below), whose sum is σ = 30345286348800. Its totient is φ = 3146651842560.

The previous prime is 12221001220073. The next prime is 12221001220111. The reversal of 12221001220110 is 1102210012221.

12221001220110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12221001220110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221001220111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1460266006 + ... + 1460274374.

It is an arithmetic number, because the mean of its divisors is an integer number (237072549600).

Almost surely, 212221001220110 is an apocalyptic number.

12221001220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221001220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15172643174400).

12221001220110 is an abundant number, since it is smaller than the sum of its proper divisors (18124285128690).

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

12221001220110 is a wasteful number, since it uses less digits than its factorization.

12221001220110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11786.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12221001220110 its reverse (1102210012221), we get a palindrome (13323211232331).

The spelling of 12221001220110 in words is "twelve trillion, two hundred twenty-one billion, one million, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 557 930 1114 1671 2785 2819 3342 5570 5638 8355 8369 8457 14095 16710 16738 16914 17267 25107 28190 34534 41845 42285 50214 51801 83690 84570 86335 87389 103602 125535 172670 174778 251070 259005 259439 262167 436945 518010 518878 524334 778317 873890 1297195 1310835 1556634 1570183 2594390 2621670 3140366 3891585 4661533 4710549 7783170 7850915 9323066 9421098 13984599 15701830 23307665 23552745 23592211 27969198 46615330 47105490 47184422 48675673 69922995 70776633 97351346 117961055 139845990 141553266 144507523 146027019 235922110 243378365 289015046 292054038 353883165 433522569 486756730 707766330 722537615 730135095 731358541 867045138 1445075230 1460270190 1462717082 2167612845 2194075623 3656792705 4335225690 4388151246 7313585410 10970378115 13140861527 21940756230 26281723054 39422584581 65704307635 78845169162 131408615270 197112922905 394225845810 407366707337 814733414674 1222100122011 2036833536685 2444200244022 4073667073370 6110500610055 12221001220110