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12102211110 = 23511431675107
BaseRepresentation
bin10110100010101100…
…10001011000100110
31011020102110000122010
423101112101120212
5144241131223420
65320520215050
7605622045213
oct132126213046
934212400563
1012102211110
115150423370
12241900a486
1311ab3a0882
1482b426b0a
154ac7104e0
hex2d1591626

12102211110 has 128 divisors (see below), whose sum is σ = 32623202304. Its totient is φ = 2847922560.

The previous prime is 12102211103. The next prime is 12102211129. The reversal of 12102211110 is 1111220121.

It is a super-4 number, since 4×121022111104 (a number of 41 digits) contains 4444 as substring.

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, 2367177 + ... + 2372283.

It is an arithmetic number, because the mean of its divisors is an integer number (254868768).

Almost surely, 212102211110 is an apocalyptic number.

12102211110 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 12102211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16311601152).

12102211110 is an abundant number, since it is smaller than the sum of its proper divisors (20520991194).

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

12102211110 is a wasteful number, since it uses less digits than its factorization.

12102211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338.

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

Adding to 12102211110 its reverse (1111220121), we get a palindrome (13213431231).

The spelling of 12102211110 in words is "twelve billion, one hundred two million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 167 215 258 330 334 430 473 501 645 835 946 1002 1290 1419 1670 1837 2365 2505 2838 3674 4730 5010 5107 5511 7095 7181 9185 10214 11022 14190 14362 15321 18370 21543 25535 27555 30642 35905 43086 51070 55110 56177 71810 76605 78991 107715 112354 153210 157982 168531 215430 219601 236973 280885 337062 394955 439202 473946 561770 658803 789910 842655 852869 1098005 1184865 1317606 1685310 1705738 2196010 2369730 2415611 2558607 3294015 4264345 4831222 5117214 6588030 7246833 8528690 9381559 12078055 12793035 14493666 18763118 24156110 25586070 28144677 36234165 36673367 46907795 56289354 72468330 73346734 93815590 110020101 140723385 183366835 220040202 281446770 366733670 403407037 550100505 806814074 1100201010 1210221111 2017035185 2420442222 4034070370 6051105555 12102211110