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12000201200120 = 2357315923432401
BaseRepresentation
bin1010111010100000001110…
…1110101101000111111000
31120111012121122200010110202
42232220003232231013320
53033102403001400440
641304452154301332
72345662113125540
oct256500356550770
946435548603422
1012000201200120
1139072908074a1
121419877127848
136907ca2a7203
142d6b545d4320
1515c245915615
hexaea03bad1f8

12000201200120 has 128 divisors (see below), whose sum is σ = 32392952524800. Its totient is φ = 3914148096000.

The previous prime is 12000201200033. The next prime is 12000201200123. The reversal of 12000201200120 is 2100210200021.

It is a happy number.

It is a super-2 number, since 2×120002012001202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000201200123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11204081 + ... + 12228320.

It is an arithmetic number, because the mean of its divisors is an integer number (253069941600).

Almost surely, 212000201200120 is an apocalyptic number.

12000201200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000201200120 is an abundant number, since it is smaller than the sum of its proper divisors (20392751324680).

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

12000201200120 is a wasteful number, since it uses less digits than its factorization.

12000201200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23432509 (or 23432505 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12000201200120 its reverse (2100210200021), we get a palindrome (14100411400141).

The spelling of 12000201200120 in words is "twelve trillion, two hundred one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 59 62 70 118 124 140 155 217 236 248 280 295 310 413 434 472 590 620 826 868 1085 1180 1240 1652 1736 1829 2065 2170 2360 3304 3658 4130 4340 7316 8260 8680 9145 12803 14632 16520 18290 25606 36580 51212 64015 73160 102424 128030 256060 512120 23432401 46864802 93729604 117162005 164026807 187459208 234324010 328053614 468648020 656107228 726404431 820134035 937296040 1312214456 1382511659 1452808862 1640268070 2765023318 2905617724 3280536140 3632022155 5084831017 5530046636 5811235448 6561072280 6912558295 7264044310 9677581613 10169662034 11060093272 13825116590 14528088620 19355163226 20339324068 25424155085 27650233180 29056177240 38710326452 40678648136 42857861429 48387908065 50848310170 55300466360 77420652904 85715722858 96775816130 101696620340 171431445716 193551632260 203393240680 214289307145 300005030003 342862891432 387103264520 428578614290 600010060006 857157228580 1200020120012 1500025150015 1714314457160 2400040240024 3000050300030 6000100600060 12000201200120