Search a number
-
+
12201210201120 = 253531381211463
BaseRepresentation
bin1011000110001101000011…
…0011001100010000100000
31121012102110022120101010120
42301203100303030100200
53044401034302413440
641541054131000240
72366336235342453
oct261432063142040
947172408511116
1012201210201120
11398456008a016
121450814739080
136a67526654a5
143027826c749a
151625ac747dd0
hexb18d0ccc420

12201210201120 has 96 divisors (see below), whose sum is σ = 38556604340352. Its totient is φ = 3243260946432.

The previous prime is 12201210201077. The next prime is 12201210201121. The reversal of 12201210201120 is 2110201210221.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12201210201120.

It is not an unprimeable number, because it can be changed into a prime (12201210201121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40455492 + ... + 40755971.

It is an arithmetic number, because the mean of its divisors is an integer number (401631295212).

Almost surely, 212201210201120 is an apocalyptic number.

12201210201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201210201120 is an abundant number, since it is smaller than the sum of its proper divisors (26355394139232).

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

12201210201120 is a wasteful number, since it uses less digits than its factorization.

12201210201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81211794 (or 81211786 counting only the distinct ones).

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

Adding to 12201210201120 its reverse (2110201210221), we get a palindrome (14311411411341).

The spelling of 12201210201120 in words is "twelve trillion, two hundred one billion, two hundred ten million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 313 480 626 939 1252 1565 1878 2504 3130 3756 4695 5008 6260 7512 9390 10016 12520 15024 18780 25040 30048 37560 50080 75120 150240 81211463 162422926 243634389 324845852 406057315 487268778 649691704 812114630 974537556 1218171945 1299383408 1624229260 1949075112 2436343890 2598766816 3248458520 3898150224 4872687780 6496917040 7796300448 9745375560 12993834080 19490751120 25419187919 38981502240 50838375838 76257563757 101676751676 127095939595 152515127514 203353503352 254191879190 305030255028 381287818785 406707006704 508383758380 610060510056 762575637570 813414013408 1016767516760 1220121020112 1525151275140 2033535033520 2440242040224 3050302550280 4067070067040 6100605100560 12201210201120