Search a number
-
+
12002122102012 = 2272197940796347
BaseRepresentation
bin1010111010100111011000…
…1110010111010011111100
31120111101120112012001111021
42232221312032113103330
53033120321224231022
641305410534033524
72346060526411600
oct256516616272374
946441515161437
1012002122102012
113908087039519
12141a1124a88a4
13690a45248853
142d6c9777d500
1515c3093a17c7
hexaea763974fc

12002122102012 has 72 divisors (see below), whose sum is σ = 26044388563200. Its totient is φ = 4811357861856.

The previous prime is 12002122101967. The next prime is 12002122102039. The reversal of 12002122102012 is 21020122120021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20103978 + ... + 20692369.

Almost surely, 212002122102012 is an apocalyptic number.

It is an amenable number.

12002122102012 is an abundant number, since it is smaller than the sum of its proper divisors (14042266461188).

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

12002122102012 is a wasteful number, since it uses less digits than its factorization.

12002122102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40796463 (or 40796454 counting only the distinct ones).

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

Adding to 12002122102012 its reverse (21020122120021), we get a palindrome (33022244222033).

The spelling of 12002122102012 in words is "twelve trillion, two billion, one hundred twenty-two million, one hundred two thousand, twelve".

Divisors: 1 2 4 7 14 19 28 38 49 76 79 98 133 158 196 266 316 532 553 931 1106 1501 1862 2212 3002 3724 3871 6004 7742 10507 15484 21014 42028 73549 147098 294196 40796347 81592694 163185388 285574429 571148858 775130593 1142297716 1550261186 1999021003 3100522372 3222911413 3998042006 5425914151 6445822826 7996084012 10851828302 12891645652 21703656604 22560379891 37981399057 45120759782 61235316847 75962798114 90241519564 122470633694 151925596228 157922659237 244941267388 315845318474 428647217929 631690636948 857294435858 1714588871716 3000530525503 6001061051006 12002122102012