Search a number
-
+
12100222001200 = 2452148120639901
BaseRepresentation
bin1011000000010100110101…
…1011110010000000110000
31120211202210021110021102211
42300011031123302000300
53041222223313014300
641422433143221504
72356132531660564
oct260051533620060
946752707407384
1012100222001200
11394574795a773
12143512ba47894
1369a07a1ba888
142db92230b6a4
1515eb4b8ad4ba
hexb014d6f2030

12100222001200 has 120 divisors (see below), whose sum is σ = 29107453093056. Its totient is φ = 4833987840000.

The previous prime is 12100222001173. The next prime is 12100222001213. The reversal of 12100222001200 is 210022200121.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1222116250 + ... + 1222126150.

Almost surely, 212100222001200 is an apocalyptic number.

12100222001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100222001200 is an abundant number, since it is smaller than the sum of its proper divisors (17007231091856).

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

12100222001200 is a wasteful number, since it uses less digits than its factorization.

12100222001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13463 (or 13452 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12100222001200 its reverse (210022200121), we get a palindrome (12310244201321).

The spelling of 12100222001200 in words is "twelve trillion, one hundred billion, two hundred twenty-two million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1481 2063 2962 4126 5924 7405 8252 9901 10315 11848 14810 16504 19802 20630 23696 29620 33008 37025 39604 41260 49505 51575 59240 74050 79208 82520 99010 103150 118480 148100 158416 165040 198020 206300 247525 296200 396040 412600 495050 592400 792080 825200 990100 1980200 3055303 3960400 6110606 12221212 14663381 15276515 20425763 24442424 29326762 30553030 40851526 48884848 58653524 61106060 73316905 76382575 81703052 102128815 117307048 122212120 146633810 152765150 163406104 204257630 234614096 244424240 293267620 305530300 326812208 366584525 408515260 510644075 586535240 611060600 733169050 817030520 1021288150 1173070480 1222121200 1466338100 1634061040 2042576300 2932676200 4085152600 5865352400 8170305200 30250555003 60501110006 121002220012 151252775015 242004440024 302505550030 484008880048 605011100060 756263875075 1210022200120 1512527750150 2420044400240 3025055500300 6050111000600 12100222001200