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12110120100210 = 23511101363799901
BaseRepresentation
bin1011000000111001101101…
…1010000010000101110010
31120212201100002110210200110
42300032123122002011302
53041403011221201320
641431151250002150
72356633031302236
oct260163332020562
946781302423613
1012110120100210
1139499670a4a90
121437032876356
1369ac96a4a1b2
142dc1c0b065c6
1516002a83d5e0
hexb039b682172

12110120100210 has 128 divisors (see below), whose sum is σ = 32029546652928. Its totient is φ = 2905891200000.

The previous prime is 12110120100203. The next prime is 12110120100227. The reversal of 12110120100210 is 1200102101121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121171260 + ... + 121271160.

It is an arithmetic number, because the mean of its divisors is an integer number (250230833226).

Almost surely, 212110120100210 is an apocalyptic number.

12110120100210 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 12110120100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16014773326464).

12110120100210 is an abundant number, since it is smaller than the sum of its proper divisors (19919426552718).

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

12110120100210 is a wasteful number, since it uses less digits than its factorization.

12110120100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103660.

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

Adding to 12110120100210 its reverse (1200102101121), we get a palindrome (13310222201331).

The spelling of 12110120100210 in words is "twelve trillion, one hundred ten billion, one hundred twenty million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1515 2222 3030 3333 3637 5555 6666 7274 10911 11110 16665 18185 21822 33330 36370 40007 54555 80014 99901 109110 120021 199802 200035 240042 299703 367337 400070 499505 599406 600105 734674 999010 1098911 1102011 1200210 1498515 1836685 2197822 2204022 2997030 3296733 3673370 4040707 5494555 5510055 6593466 8081414 10090001 10989110 11020110 12122121 16483665 20180002 20203535 24244242 30270003 32967330 40407070 50450005 60540006 60610605 100900010 110990011 121221210 151350015 221980022 302700030 332970033 363339937 554950055 665940066 726679874 1090019811 1109900110 1664850165 1816699685 2180039622 3329700330 3633399370 3996739307 5450099055 7993478614 10900198110 11990217921 19983696535 23980435842 36697333637 39967393070 59951089605 73394667274 110092000911 119902179210 183486668185 220184001822 366973336370 403670670007 550460004555 807341340014 1100920009110 1211012010021 2018353350035 2422024020042 4036706700070 6055060050105 12110120100210