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12102210202220 = 2252971735139979
BaseRepresentation
bin1011000000011100001111…
…1100001010101001101100
31120211221220211121100111122
42300013003330022221230
53041240311302432340
641423402325240112
72356233023261165
oct260070374125154
946757824540448
1012102210202220
113946578178606
1214355a5863038
1369a306093598
142dba703b476c
1515ec161dedb5
hexb01c3f0aa6c

12102210202220 has 96 divisors (see below), whose sum is σ = 26665598131200. Its totient is φ = 4607384544000.

The previous prime is 12102210202217. The next prime is 12102210202237. The reversal of 12102210202220 is 2220201220121.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302694191 + ... + 302734169.

It is an arithmetic number, because the mean of its divisors is an integer number (277766647200).

Almost surely, 212102210202220 is an apocalyptic number.

12102210202220 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 12102210202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332799065600).

12102210202220 is an abundant number, since it is smaller than the sum of its proper divisors (14563387928980).

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

12102210202220 is a wasteful number, since it uses less digits than its factorization.

12102210202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47439 (or 47437 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12102210202220 its reverse (2220201220121), we get a palindrome (14322411422341).

The spelling of 12102210202220 in words is "twelve trillion, one hundred two billion, two hundred ten million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 71 116 142 145 284 290 355 580 710 1420 2059 4118 7351 8236 10295 14702 20590 29404 36755 39979 41180 73510 79958 147020 159916 199895 213179 399790 426358 521921 799580 852716 1043842 1065895 1159391 2087684 2131790 2318782 2609605 2838509 4263580 4637564 5219210 5677018 5796955 10438420 11354036 11593910 14192545 15135709 23187820 28385090 30271418 56770180 60542836 75678545 82316761 151357090 164633522 293885629 302714180 329267044 411583805 587771258 823167610 1175542516 1469428145 1646335220 2938856290 5877712580 8522683241 17045366482 20865879659 34090732964 41731759318 42613416205 83463518636 85226832410 104329398295 170453664820 208658796590 417317593180 605110510111 1210221020222 2420442040444 3025552550555 6051105101110 12102210202220