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12002126906224 = 2471317911532267
BaseRepresentation
bin1010111010100111011010…
…0000101100001101110000
31120111101120212020010122001
42232221312200230031300
53033120323441444344
641305411225023344
72346060615301210
oct256516640541560
946441525203561
1012002126906224
11390808981aa44
12141a114024b54
13690a4623b490
142d6c98270240
1515c3099eeed4
hexaea7682c370

12002126906224 has 160 divisors (see below), whose sum is σ = 30337334286336. Its totient is φ = 4463880744960.

The previous prime is 12002126906183. The next prime is 12002126906279. The reversal of 12002126906224 is 42260962120021.

It is a congruent number.

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, 22282939 + ... + 22815205.

Almost surely, 212002126906224 is an apocalyptic number.

12002126906224 is a gapful number since it is divisible by the number (14) 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 12002126906224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15168667143168).

12002126906224 is an abundant number, since it is smaller than the sum of its proper divisors (18335207380112).

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

12002126906224 is a wasteful number, since it uses less digits than its factorization.

12002126906224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533223 (or 533217 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 12002126906224 in words is "twelve trillion, two billion, one hundred twenty-six million, nine hundred six thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 91 104 112 119 136 182 208 221 238 272 364 442 476 728 884 911 952 1456 1547 1768 1822 1904 3094 3536 3644 6188 6377 7288 11843 12376 12754 14576 15487 23686 24752 25508 30974 47372 51016 61948 82901 94744 102032 108409 123896 165802 189488 201331 216818 247792 331604 402662 433636 532267 663208 805324 867272 1064534 1326416 1409317 1610648 1734544 2129068 2818634 3221296 3725869 4258136 5637268 6919471 7451738 8516272 9048539 11274536 13838942 14903476 18097078 22549072 27677884 29806952 36194156 48436297 55355768 59613904 63339773 72388312 96872594 110711536 117631007 126679546 144776624 193745188 235262014 253359092 387490376 470524028 484895237 506718184 774980752 823417049 941048056 969790474 1013436368 1646834098 1882096112 1939580948 3293668196 3394266659 3879161896 6303638081 6587336392 6788533318 7758323792 8243219029 12607276162 13174672784 13577066636 16486438058 25214552324 27154133272 32972876116 44125466567 50429104648 54308266544 57702533203 65945752232 88250933134 100858209296 107161847377 115405066406 131891504464 176501866268 214323694754 230810132812 353003732536 428647389508 461620265624 706007465072 750132931639 857294779016 923240531248 1500265863278 1714589558032 3000531726556 6001063453112 12002126906224