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12001222011201 = 31743431108711681
BaseRepresentation
bin1010111010100100000010…
…0100110010100101000001
31120111022020210111201000120
42232221000210302211001
53033112000313324301
641305141342010453
72346026316644253
oct256510044624501
946438223451016
1012001222011201
113907764a54a15
121419b00b76a29
1369093091ca37
142d6c0dddbcd3
1515c2a5357e36
hexaea40932941

12001222011201 has 64 divisors (see below), whose sum is σ = 17394622857216. Its totient is φ = 7330614681600.

The previous prime is 12001222011199. The next prime is 12001222011223. The reversal of 12001222011201 is 10211022210021.

It is not a de Polignac number, because 12001222011201 - 21 = 12001222011199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12001222011271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1027408081 + ... + 1027419761.

It is an arithmetic number, because the mean of its divisors is an integer number (271790982144).

Almost surely, 212001222011201 is an apocalyptic number.

It is an amenable number.

12001222011201 is a deficient number, since it is larger than the sum of its proper divisors (5393400846015).

12001222011201 is a wasteful number, since it uses less digits than its factorization.

12001222011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13262.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12001222011201 its reverse (10211022210021), we get a palindrome (22212244221222).

The spelling of 12001222011201 in words is "twelve trillion, one billion, two hundred twenty-two million, eleven thousand, two hundred one".

Divisors: 1 3 17 43 51 129 431 731 1087 1293 2193 3261 7327 11681 18479 18533 21981 35043 46741 55437 55599 140223 198577 315061 468497 502283 595731 794597 945183 1405491 1506849 2383791 5034511 7964449 8538811 12697247 15103533 20145371 23893347 25616433 38091741 60436113 85586687 215853199 216483973 256760061 342471307 545981621 647559597 649451919 1027413921 1637944863 3680227541 5472513457 9281687557 11040682623 16417540371 27845062671 93032728769 235318078651 279098186307 705954235953 4000407337067 12001222011201