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12011022211110 = 235132692425609
BaseRepresentation
bin1010111011001000100010…
…1101100101100000100110
31120112020112210022102221120
42232302020231211200212
53033242033141223420
641313442030154410
72346524220163536
oct256621055454046
946466483272846
1012011022211110
113910933a0318a
12141b997052a06
136918330c2bb0
142d749d7d14c6
1515c67a8ead40
hexaec88b65826

12011022211110 has 96 divisors (see below), whose sum is σ = 31159779749280. Its totient is φ = 2945561465856.

The previous prime is 12011022211057. The next prime is 12011022211129. The reversal of 12011022211110 is 1111222011021.

It is a happy number.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12011022211110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28007986 + ... + 28433594.

It is an arithmetic number, because the mean of its divisors is an integer number (324581039055).

Almost surely, 212011022211110 is an apocalyptic number.

12011022211110 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 12011022211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15579889874640).

12011022211110 is an abundant number, since it is smaller than the sum of its proper divisors (19148757538170).

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

12011022211110 is a wasteful number, since it uses less digits than its factorization.

12011022211110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426170 (or 425901 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12011022211110 its reverse (1111222011021), we get a palindrome (13122244222131).

The spelling of 12011022211110 in words is "twelve trillion, eleven billion, twenty-two million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 269 390 538 807 1345 1614 2690 3497 4035 6994 8070 10491 17485 20982 34970 52455 72361 104910 144722 217083 361805 425609 434166 723610 851218 940693 1085415 1276827 1881386 2128045 2170830 2553654 2822079 4256090 4703465 5532917 5644158 6384135 9406930 11065834 12768270 14110395 16598751 27664585 28220790 33197502 55329170 82993755 114488821 165987510 228977642 343466463 572444105 686932926 1144888210 1488354673 1717332315 2976709346 3434664630 4465064019 7441773365 8930128038 14883546730 22325320095 30797492849 44650640190 61594985698 92392478547 153987464245 184784957094 307974928490 400367407037 461962392735 800734814074 923924785470 1201102221111 2001837035185 2402204442222 4003674070370 6005511105555 12011022211110