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12010022101110 = 23511471734475957
BaseRepresentation
bin1010111011000100110100…
…0110011110000001110110
31120112010222002102120221110
42232301031012132001312
53033233011124213420
641313154502255450
72346460354324125
oct256611506360166
946463862376843
1012010022101110
1139104704147a0
12141b758127586
13691703b47927
142d7406a55abc
1515c61cbe6ee0
hexaec4d19e076

12010022101110 has 128 divisors (see below), whose sum is σ = 32299085850624. Its totient is φ = 2833101109760.

The previous prime is 12010022101093. The next prime is 12010022101141. The reversal of 12010022101110 is 1110122001021.

12010022101110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 445252 + ... + 4921208.

It is an arithmetic number, because the mean of its divisors is an integer number (252336608208).

Almost surely, 212010022101110 is an apocalyptic number.

12010022101110 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 12010022101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16149542925312).

12010022101110 is an abundant number, since it is smaller than the sum of its proper divisors (20289063749514).

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

12010022101110 is a wasteful number, since it uses less digits than its factorization.

12010022101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4476198.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12010022101110 its reverse (1110122001021), we get a palindrome (13120144102131).

The spelling of 12010022101110 in words is "twelve trillion, ten billion, twenty-two million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 173 235 282 330 346 470 517 519 705 865 1034 1038 1410 1551 1730 1903 2585 2595 3102 3806 5170 5190 5709 7755 8131 9515 11418 15510 16262 19030 24393 28545 40655 48786 57090 81310 89441 121965 178882 243930 268323 447205 536646 894410 1341615 2683230 4475957 8951914 13427871 22379785 26855742 44759570 49235527 67139355 98471054 134278710 147706581 210369979 246177635 295413162 420739958 492355270 631109937 738532905 774340561 1051849895 1262219874 1477065810 1548681122 2103699790 2314069769 2323021683 3155549685 3871702805 4628139538 4646043366 6311099370 6942209307 7743405610 8517746171 11570348845 11615108415 13884418614 17035492342 23140697690 23230216830 25553238513 34711046535 36394006367 42588730855 51106477026 69422093070 72788012734 85177461710 109182019101 127766192565 181970031835 218364038202 255532385130 363940063670 400334070037 545910095505 800668140074 1091820191010 1201002210111 2001670350185 2402004420222 4003340700370 6005011050555 12010022101110