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12102122211000 = 2335329139104853
BaseRepresentation
bin1011000000011011111010…
…1100100000011010111000
31120211221200201000221020120
42300012332230200122320
53041240121241223000
641423345503253240
72356230604333053
oct260067654403270
946757621027216
1012102122211000
113946532539498
1214355802aa220
1369a2c0a95a83
142dba6282ba9a
1515ec0d60d6a0
hexb01beb206b8

12102122211000 has 128 divisors (see below), whose sum is σ = 39060643003200. Its totient is φ = 3115948684800.

The previous prime is 12102122210929. The next prime is 12102122211043. The reversal of 12102122211000 is 11222120121.

It is a super-2 number, since 2×121021222110002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 69465427 + ... + 69639426.

Almost surely, 212102122211000 is an apocalyptic number.

12102122211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102122211000 is an abundant number, since it is smaller than the sum of its proper divisors (26958520792200).

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

12102122211000 is a wasteful number, since it uses less digits than its factorization.

12102122211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139104906 (or 139104892 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12102122211000 its reverse (11222120121), we get a palindrome (12113344331121).

The spelling of 12102122211000 in words is "twelve trillion, one hundred two billion, one hundred twenty-two million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 580 600 696 725 750 870 1000 1160 1450 1500 1740 2175 2900 3000 3480 3625 4350 5800 7250 8700 10875 14500 17400 21750 29000 43500 87000 139104853 278209706 417314559 556419412 695524265 834629118 1112838824 1391048530 1669258236 2086572795 2782097060 3338516472 3477621325 4034040737 4173145590 5564194120 6955242650 8068081474 8346291180 10432863975 12102122211 13910485300 16136162948 16692582360 17388106625 20170203685 20865727950 24204244422 27820970600 32272325896 34776213250 40340407370 41731455900 48408488844 52164319875 60510611055 69552426500 80680814740 83462911800 96816977688 100851018425 104328639750 121021222110 139104853000 161361629480 201702036850 208657279500 242042444220 302553055275 403404073700 417314559000 484084888440 504255092125 605106110550 806808147400 1008510184250 1210212221100 1512765276375 2017020368500 2420424442200 3025530552750 4034040737000 6051061105500 12102122211000