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12012800365488 = 24313367238122031
BaseRepresentation
bin1010111011001111001010…
…1100101101001110110000
31120112102010201020001012010
42232303302230231032300
53033304203343143423
641314334310202520
72346616251224226
oct256636254551660
946472121201163
1012012800365488
1139116666a695a
1214201b2653440
13691a57604750
142d75cba1cb16
1515c731a8b693
hexaecf2b2d3b0

12012800365488 has 160 divisors (see below), whose sum is σ = 33526886141952. Its totient is φ = 3684459340800.

The previous prime is 12012800365453. The next prime is 12012800365507. The reversal of 12012800365488 is 88456300821021.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 545257033 + ... + 545279063.

Almost surely, 212012800365488 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 12012800365488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16763443070976).

12012800365488 is an abundant number, since it is smaller than the sum of its proper divisors (21514085776464).

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

12012800365488 is a wasteful number, since it uses less digits than its factorization.

12012800365488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24803 (or 24797 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 12012800365488 in words is "twelve trillion, twelve billion, eight hundred million, three hundred sixty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 367 624 734 1101 1468 2202 2381 2936 4404 4762 4771 5872 7143 8808 9524 9542 14286 14313 17616 19048 19084 22031 28572 28626 30953 38096 38168 44062 57144 57252 61906 66093 76336 88124 92859 114288 114504 123812 132186 176248 185718 229008 247624 264372 286403 352496 371436 495248 528744 572806 742872 859209 873827 1057488 1145612 1485744 1718418 1747654 2291224 2621481 3436836 3495308 4582448 5242962 6873672 6990616 8085377 10485924 11359751 13747344 13981232 16170754 20971848 22719502 24256131 32341508 34079253 41943696 45439004 48512262 52455811 64683016 68158506 90878008 97024524 104911622 105109901 129366032 136317012 157367433 181756016 194049048 209823244 210219802 272634024 314734866 315329703 388098096 419646488 420439604 545268048 629469732 630659406 681925543 839292976 840879208 1258939464 1261318812 1363851086 1681758416 2045776629 2517878928 2522637624 2727702172 4091553258 5045275248 5455404344 8183106516 10910808688 16366213032 19251282637 32732426064 38502565274 57753847911 77005130548 115507695822 154010261096 231015391644 250266674281 308020522192 462030783288 500533348562 750800022843 924061566576 1001066697124 1501600045686 2002133394248 3003200091372 4004266788496 6006400182744 12012800365488