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12300333247072 = 2513149550336061
BaseRepresentation
bin1011001011111110010011…
…1111100110101001100000
31121112220022101001211120201
42302333210333212221200
53103012040302401242
642054410045514544
72406445503335563
oct262774477465140
947486271054521
1012300333247072
113a125a64a3602
121467a78872a54
136b2bbb58a1c0
143074a70aa4da
15164e5e9a94b7
hexb2fe4fe6a60

12300333247072 has 96 divisors (see below), whose sum is σ = 26259598310400. Its totient is φ = 5637794641920.

The previous prime is 12300333247051. The next prime is 12300333247091. The reversal of 12300333247072 is 27074233300321.

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, 341079922 + ... + 341115982.

It is an arithmetic number, because the mean of its divisors is an integer number (273537482400).

Almost surely, 212300333247072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12300333247072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13129799155200).

12300333247072 is an abundant number, since it is smaller than the sum of its proper divisors (13959265063328).

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

12300333247072 is a wasteful number, since it uses less digits than its factorization.

12300333247072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41736 (or 41728 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 37.

Adding to 12300333247072 its reverse (27074233300321), we get a palindrome (39374566547393).

The spelling of 12300333247072 in words is "twelve trillion, three hundred billion, three hundred thirty-three million, two hundred forty-seven thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 149 208 298 416 596 1192 1937 2384 3874 4768 5503 7748 11006 15496 22012 30992 36061 44024 61984 71539 72122 88048 143078 144244 176096 286156 288488 468793 572312 576976 819947 937586 1144624 1153952 1639894 1875172 2289248 3279788 3750344 5373089 6559576 7500688 10659311 10746178 13119152 15001376 21318622 21492356 26238304 42637244 42984712 69850157 85274488 85969424 139700314 170548976 171938848 198443683 279400628 341097952 396887366 558801256 793774732 1117602512 1587549464 2235205024 2579767879 3175098928 5159535758 6350197856 10319071516 20638143032 29568108767 41276286064 59136217534 82552572128 118272435068 236544870136 384385413971 473089740272 768770827942 946179480544 1537541655884 3075083311768 6150166623536 12300333247072