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12000010020201 = 3376125727714621
BaseRepresentation
bin1010111010011111100001…
…0101011010010101101001
31120111012010022221011221000
42232213320111122111221
53033102010031121301
641304421204505213
72345654302124640
oct256477025322551
946435108834830
1012000010020201
1139071a28a9165
1214198230ab209
136907997ba6b8
142d6b3706a357
1515c233c4e786
hexae9f855a569

12000010020201 has 128 divisors (see below), whose sum is σ = 20807166827520. Its totient is φ = 6693779865600.

The previous prime is 12000010020197. The next prime is 12000010020203. The reversal of 12000010020201 is 10202001000021.

It is not a de Polignac number, because 12000010020201 - 22 = 12000010020197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12000010020203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 820730671 + ... + 820745291.

It is an arithmetic number, because the mean of its divisors is an integer number (162555990840).

Almost surely, 212000010020201 is an apocalyptic number.

It is an amenable number.

12000010020201 is a deficient number, since it is larger than the sum of its proper divisors (8807156807319).

12000010020201 is a wasteful number, since it uses less digits than its factorization.

12000010020201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15232 (or 15226 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12000010020201 its reverse (10202001000021), we get a palindrome (22202011020222).

The spelling of 12000010020201 in words is "twelve trillion, ten million, twenty thousand, two hundred one".

Divisors: 1 3 7 9 21 27 61 63 183 189 257 277 427 549 771 831 1281 1647 1799 1939 2313 2493 3843 5397 5817 6939 7479 11529 14621 15677 16191 16897 17451 43863 47031 48573 50691 52353 71189 102347 109739 118279 131589 141093 152073 213567 307041 329217 354837 394767 423279 456219 498323 640701 891881 921123 987651 1064511 1494969 1922103 2675643 2763369 2962953 3193533 3757597 4050017 4342529 4484907 6243167 8026929 11272791 12150051 13027587 13454721 18729501 24080787 26303179 28350119 30397703 33818373 36450153 39082761 56188503 78909537 85050357 91193109 101455119 109350459 117248283 168565509 229213417 236728611 247051037 255151071 273579327 687640251 710185833 741153111 765453213 820737981 1040854369 1604493919 1729357259 2062920753 2223459333 3122563107 4813481757 5188071777 6188762259 6670377999 7285980583 9367689321 14440445271 15564215331 21857941749 28103067963 43321335813 46692645993 63492116509 65573825247 190476349527 196721475741 444444815563 571429048581 1333334446689 1714287145743 4000003340067 12000010020201