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12210110102010 = 23519373449167861
BaseRepresentation
bin1011000110101110001101…
…0001100111100111111010
31121020021102120022011222110
42301223203101213213322
53100022301141231020
641545125214433150
72400102624266412
oct261534321474772
947207376264873
1012210110102010
113988307921307
1214524992027b6
136a7540468b32
14302d886c3642
1516292dc508e0
hexb1ae34679fa

12210110102010 has 128 divisors (see below), whose sum is σ = 31689659808000. Its totient is φ = 3000402155520.

The previous prime is 12210110101921. The next prime is 12210110102017. The reversal of 12210110102010 is 1020101101221.

It is not an unprimeable number, because it can be changed into a prime (12210110102017) 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, 72655480 + ... + 72823340.

It is an arithmetic number, because the mean of its divisors is an integer number (247575467250).

Almost surely, 212210110102010 is an apocalyptic number.

12210110102010 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 12210110102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15844829904000).

12210110102010 is an abundant number, since it is smaller than the sum of its proper divisors (19479549705990).

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

12210110102010 is a wasteful number, since it uses less digits than its factorization.

12210110102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171376.

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

Adding to 12210110102010 its reverse (1020101101221), we get a palindrome (13230211203231).

The spelling of 12210110102010 in words is "twelve trillion, two hundred ten billion, one hundred ten million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 185 190 222 285 370 555 570 703 1110 1406 2109 3449 3515 4218 6898 7030 10347 10545 17245 20694 21090 34490 51735 65531 103470 127613 131062 167861 196593 255226 327655 335722 382839 393186 503583 638065 655310 765678 839305 982965 1007166 1276130 1678610 1914195 1965930 2424647 2517915 3189359 3828390 4849294 5035830 6210857 6378718 7273941 9568077 12123235 12421714 14547882 15946795 18632571 19136154 24246470 31054285 31893590 36369705 37265142 47840385 62108570 72739410 93162855 95680770 118006283 186325710 236012566 354018849 578952589 590031415 708037698 1157905178 1180062830 1736857767 1770094245 2894762945 3473715534 3540188490 5789525890 8684288835 11000099191 17368577670 21421245793 22000198382 33000297573 42842491586 55000495955 64263737379 66000595146 107106228965 110000991910 128527474758 165001487865 214212457930 321318686895 330002975730 407003670067 642637373790 814007340134 1221011010201 2035018350335 2442022020402 4070036700670 6105055051005 12210110102010