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12265664700 = 22352198832437
BaseRepresentation
bin10110110110001011…
…10011000010111100
31011122211000022210210
423123011303002330
5200110002232300
65345035432420
7612645300252
oct133305630274
934584008723
1012265664700
115224714483
1224638b5710
131206200283
148450145d2
154bbc4b050
hex2db1730bc

12265664700 has 144 divisors (see below), whose sum is σ = 37414133120. Its totient is φ = 3093914880.

The previous prime is 12265664633. The next prime is 12265664701. The reversal of 12265664700 is 746656221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12265664701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5031882 + ... + 5034318.

Almost surely, 212265664700 is an apocalyptic number.

12265664700 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 12265664700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18707066560).

12265664700 is an abundant number, since it is smaller than the sum of its proper divisors (25148468420).

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

12265664700 is a wasteful number, since it uses less digits than its factorization.

12265664700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 12265664700 in words is "twelve billion, two hundred sixty-five million, six hundred sixty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 883 950 1140 1425 1766 1900 2437 2649 2850 3532 4415 4874 5298 5700 7311 8830 9748 10596 12185 13245 14622 16777 17660 22075 24370 26490 29244 33554 36555 44150 46303 48740 50331 52980 60925 66225 67108 73110 83885 88300 92606 100662 121850 132450 138909 146220 167770 182775 185212 201324 231515 243700 251655 264900 277818 335540 365550 419425 463030 503310 555636 694545 731100 838850 926060 1006620 1157575 1258275 1389090 1677700 2151871 2315150 2516550 2778180 3472725 4303742 4630300 5033100 6455613 6945450 8607484 10759355 12911226 13890900 21518710 25822452 32278065 40885549 43037420 53796775 64556130 81771098 107593550 122656647 129112260 161390325 163542196 204427745 215187100 245313294 322780650 408855490 490626588 613283235 645561300 817710980 1022138725 1226566470 2044277450 2453132940 3066416175 4088554900 6132832350 12265664700