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12012100110320 = 2451925573090613
BaseRepresentation
bin1010111011001100100011…
…1101011100011111110000
31120112100022220120101200112
42232303020331130133300
53033301240112012240
641314141013240452
72346563016161042
oct256631075343760
946470286511615
1012012100110320
1139113373a2882
121420038033128
1369197550618b
142d7562a19a92
1515c6e0368665
hexaecc8f5c7f0

12012100110320 has 80 divisors (see below), whose sum is σ = 29409541076640. Its totient is φ = 4550172060672.

The previous prime is 12012100110251. The next prime is 12012100110343. The reversal of 12012100110320 is 2301100121021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12012100110295 and 12012100110304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2341334 + ... + 5431946.

It is an arithmetic number, because the mean of its divisors is an integer number (367619263458).

Almost surely, 212012100110320 is an apocalyptic number.

12012100110320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012100110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14704770538320).

12012100110320 is an abundant number, since it is smaller than the sum of its proper divisors (17397440966320).

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

12012100110320 is a wasteful number, since it uses less digits than its factorization.

12012100110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093202 (or 3093196 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12012100110320 its reverse (2301100121021), we get a palindrome (14313200231341).

The spelling of 12012100110320 in words is "twelve trillion, twelve billion, one hundred million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 2557 5114 10228 12785 20456 25570 40912 48583 51140 97166 102280 194332 204560 242915 388664 485830 777328 971660 1943320 3090613 3886640 6181226 12362452 15453065 24724904 30906130 49449808 58721647 61812260 117443294 123624520 234886588 247249040 293608235 469773176 587216470 939546352 1174432940 2348865880 4697731760 7902697441 15805394882 31610789764 39513487205 63221579528 79026974410 126443159056 150151251379 158053948820 300302502758 316107897640 600605005516 632215795280 750756256895 1201210011032 1501512513790 2402420022064 3003025027580 6006050055160 12012100110320