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12001201011240 = 2335714287144061
BaseRepresentation
bin1010111010100011111101…
…0100101011101000101000
31120111022012022222210111020
42232220333110223220220
53033111424424324430
641305135311532440
72346025643312010
oct256507724535050
946438168883436
1012001201011240
113907754111381
121419ab5b2a120
1369092947941c
142d6c0b2d2c40
1515c2a35aab10
hexaea3f52ba28

12001201011240 has 64 divisors (see below), whose sum is σ = 41146974898560. Its totient is φ = 2743131659520.

The previous prime is 12001201011223. The next prime is 12001201011257. The reversal of 12001201011240 is 4211010210021.

It is an interprime number because it is at equal distance from previous prime (12001201011223) and next prime (12001201011257).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7143571191 + ... + 7143572870.

It is an arithmetic number, because the mean of its divisors is an integer number (642921482790).

Almost surely, 212001201011240 is an apocalyptic number.

12001201011240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001201011240 is an abundant number, since it is smaller than the sum of its proper divisors (29145773887320).

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

12001201011240 is a wasteful number, since it uses less digits than its factorization.

12001201011240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14287144082 (or 14287144078 counting only the distinct ones).

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

Adding to 12001201011240 its reverse (4211010210021), we get a palindrome (16212211221261).

The spelling of 12001201011240 in words is "twelve trillion, one billion, two hundred one million, eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 14287144061 28574288122 42861432183 57148576244 71435720305 85722864366 100010008427 114297152488 142871440610 171445728732 200020016854 214307160915 285742881220 300030025281 342891457464 400040033708 428614321830 500050042135 571485762440 600060050562 800080067416 857228643660 1000100084270 1200120101124 1500150126405 1714457287320 2000200168540 2400240202248 3000300252810 4000400337080 6000600505620 12001201011240