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12012100130320 = 2451493313044491
BaseRepresentation
bin1010111011001100100011…
…1101100001011000010000
31120112100022220121102010021
42232303020331201120100
53033301240113132240
641314141013513224
72346563016303253
oct256631075413020
946470286542107
1012012100130320
113911337406904
121420038042814
13691975512304
142d7562a2309a
1515c6e036e54a
hexaecc8f61610

12012100130320 has 80 divisors (see below), whose sum is σ = 28200520497600. Its totient is φ = 4758172531200.

The previous prime is 12012100130297. The next prime is 12012100130323. The reversal of 12012100130320 is 2303100121021.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12012100130294 and 12012100130303.

It is not an unprimeable number, because it can be changed into a prime (12012100130323) 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, 2423275 + ... + 5467765.

It is an arithmetic number, because the mean of its divisors is an integer number (352506506220).

Almost surely, 212012100130320 is an apocalyptic number.

12012100130320 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 12012100130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100260248800).

12012100130320 is an abundant number, since it is smaller than the sum of its proper divisors (16188420367280).

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

12012100130320 is a wasteful number, since it uses less digits than its factorization.

12012100130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044984 (or 3044978 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12012100130320 its reverse (2303100121021), we get a palindrome (14315200251341).

The spelling of 12012100130320 in words is "twelve trillion, twelve billion, one hundred million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 331 596 662 745 1192 1324 1490 1655 2384 2648 2980 3310 5296 5960 6620 11920 13240 26480 49319 98638 197276 246595 394552 493190 789104 986380 1972760 3044491 3945520 6088982 12177964 15222455 24355928 30444910 48711856 60889820 121779640 243559280 453629159 907258318 1007726521 1814516636 2015453042 2268145795 3629033272 4030906084 4536291590 5038632605 7258066544 8061812168 9072583180 10077265210 16123624336 18145166360 20154530420 36290332720 40309060840 80618121680 150151251629 300302503258 600605006516 750756258145 1201210013032 1501512516290 2402420026064 3003025032580 6006050065160 12012100130320