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12012001130320 = 245672663841549
BaseRepresentation
bin1010111011001100001100…
…0011110111011101010000
31120112100002000022200122121
42232303003003313131100
53033301034242132240
641314123115544024
72346560404644442
oct256630303673520
946470060280577
1012012001130320
113911296538724
12142000aa5b014
1369195ab5ba29
142d7553812492
1515c6d681604a
hexaecc30f7750

12012001130320 has 80 divisors (see below), whose sum is σ = 28355414601600. Its totient is φ = 4731304038912.

The previous prime is 12012001130309. The next prime is 12012001130321. The reversal of 12012001130320 is 2303110021021.

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 = 12012001130294 and 12012001130303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012001130321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13852906 + ... + 14694454.

It is an arithmetic number, because the mean of its divisors is an integer number (354442682520).

Almost surely, 212012001130320 is an apocalyptic number.

12012001130320 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 12012001130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14177707300800).

12012001130320 is an abundant number, since it is smaller than the sum of its proper divisors (16343413471280).

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

12012001130320 is a wasteful number, since it uses less digits than its factorization.

12012001130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844292 (or 844286 counting only the distinct ones).

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

Adding to 12012001130320 its reverse (2303110021021), we get a palindrome (14315111151341).

The spelling of 12012001130320 in words is "twelve trillion, twelve billion, one million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2663 2680 5326 5360 10652 13315 21304 26630 42608 53260 106520 178421 213040 356842 713684 841549 892105 1427368 1683098 1784210 2854736 3366196 3568420 4207745 6732392 7136840 8415490 13464784 14273680 16830980 33661960 56383783 67323920 112767566 225535132 281918915 451070264 563837830 902140528 1127675660 2241044987 2255351320 4482089974 4510702640 8964179948 11205224935 17928359896 22410449870 35856719792 44820899740 89641799480 150150014129 179283598960 300300028258 600600056516 750750070645 1201200113032 1501500141290 2402400226064 3003000282580 6006000565160 12012001130320