Search a number
-
+
12201020121220 = 2257711227466813
BaseRepresentation
bin1011000110001100010101…
…1110000110000010000100
31121012101222001220022112021
42301203011132012002010
53044400142122334340
641541023220532524
72366331436602610
oct261430536060204
947171861808467
1012201020121220
113984472862197
121450780b51144
136a6722172588
14302765368340
1516259abece4a
hexb18c5786084

12201020121220 has 48 divisors (see below), whose sum is σ = 29694877164288. Its totient is φ = 4124288488320.

The previous prime is 12201020121211. The next prime is 12201020121229. The reversal of 12201020121220 is 2212102010221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12201020121211) and next prime (12201020121229).

It is a junction number, because it is equal to n+sod(n) for n = 12201020121194 and 12201020121203.

It is not an unprimeable number, because it can be changed into a prime (12201020121229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 613723467 + ... + 613743346.

It is an arithmetic number, because the mean of its divisors is an integer number (618643274256).

Almost surely, 212201020121220 is an apocalyptic number.

12201020121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201020121220 is an abundant number, since it is smaller than the sum of its proper divisors (17493857043068).

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

12201020121220 is a wasteful number, since it uses less digits than its factorization.

12201020121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227466900 (or 1227466898 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12201020121220 its reverse (2212102010221), we get a palindrome (14413122131441).

The spelling of 12201020121220 in words is "twelve trillion, two hundred one billion, twenty million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 710 994 1420 1988 2485 4970 9940 1227466813 2454933626 4909867252 6137334065 8592267691 12274668130 17184535382 24549336260 34369070764 42961338455 85922676910 87150143723 171845353820 174300287446 348600574892 435750718615 610051006061 871501437230 1220102012122 1743002874460 2440204024244 3050255030305 6100510060610 12201020121220