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12102211000 = 2353111278663
BaseRepresentation
bin10110100010101100…
…10001010110111000
31011020102110000111001
423101112101112320
5144241131223000
65320520214344
7605622044665
oct132126212670
934212400431
1012102211000
115150423280
12241900a3b4
1311ab3a07c9
1482b426a6c
154ac71046a
hex2d15915b8

12102211000 has 128 divisors (see below), whose sum is σ = 31140495360. Its totient is φ = 4365648000.

The previous prime is 12102210973. The next prime is 12102211027. The reversal of 12102211000 is 11220121.

It is an interprime number because it is at equal distance from previous prime (12102210973) and next prime (12102211027).

It is a super-2 number, since 2×121022110002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1392669 + ... + 1401331.

It is an arithmetic number, because the mean of its divisors is an integer number (243285120).

Almost surely, 212102211000 is an apocalyptic number.

12102211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15570247680).

12102211000 is an abundant number, since it is smaller than the sum of its proper divisors (19038284360).

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

12102211000 is a wasteful number, since it uses less digits than its factorization.

12102211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8822 (or 8808 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12102211000 its reverse (11220121), we get a palindrome (12113431121).

The spelling of 12102211000 in words is "twelve billion, one hundred two million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 127 200 220 250 254 275 440 500 508 550 635 1000 1016 1100 1270 1375 1397 2200 2540 2750 2794 3175 5080 5500 5588 6350 6985 8663 11000 11176 12700 13970 15875 17326 25400 27940 31750 34652 34925 43315 55880 63500 69304 69850 86630 95293 127000 139700 173260 174625 190586 216575 279400 346520 349250 381172 433150 476465 698500 762344 866300 952930 1082875 1100201 1397000 1732600 1905860 2165750 2200402 2382325 3811720 4331500 4400804 4764650 5501005 8663000 8801608 9529300 11002010 11911625 12102211 19058600 22004020 23823250 24204422 27505025 44008040 47646500 48408844 55010050 60511055 95293000 96817688 110020100 121022110 137525125 220040200 242044220 275050250 302555275 484088440 550100500 605110550 1100201000 1210221100 1512776375 2420442200 3025552750 6051105500 12102211000