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120201012111012 = 223717318126461609
BaseRepresentation
bin11011010101001001111010…
…101000001110011010100100
3120202121002211012112021201220
4123111021322220032122210
5111223333133100023022
61103351325504020340
734214144064013140
oct3325117250163244
9522532735467656
10120201012111012
1135332a65780398
12115939179016b0
13520bba33366b1
142197a8d732220
15dd6a8689e85c
hex6d527aa0e6a4

120201012111012 has 96 divisors (see below), whose sum is σ = 339497799056640. Its totient is φ = 32312798760960.

The previous prime is 120201012110999. The next prime is 120201012111077. The reversal of 120201012111012 is 210111210102021.

It is a happy number.

It is a super-2 number, since 2×1202010121110122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120201012110982 and 120201012111000.

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 31 ways as a sum of consecutive naturals, for example, 8688337 + ... + 17773272.

It is an arithmetic number, because the mean of its divisors is an integer number (3536435406840).

Almost surely, 2120201012111012 is an apocalyptic number.

120201012111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120201012111012 is an abundant number, since it is smaller than the sum of its proper divisors (219296786945628).

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

120201012111012 is a wasteful number, since it uses less digits than its factorization.

120201012111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26464821 (or 26464819 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120201012111012 its reverse (210111210102021), we get a palindrome (330312222213033).

The spelling of 120201012111012 in words is "one hundred twenty trillion, two hundred one billion, twelve million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 3181 6362 9543 12724 19086 22267 38172 44534 54077 66801 89068 108154 133602 162231 216308 267204 324462 378539 648924 757078 1135617 1514156 2271234 4542468 26461609 52923218 79384827 105846436 158769654 185231263 317539308 370462526 449847353 555693789 740925052 899694706 1111387578 1349542059 1799389412 2222775156 2699084118 3148931471 5398168236 6297862942 9446794413 12595725884 18893588826 37787177652 84174378229 168348756458 252523134687 336697512916 505046269374 589220647603 1010092538748 1178441295206 1430964429893 1767661942809 2356882590412 2861928859786 3535323885618 4292893289679 5723857719572 7070647771236 8585786579358 10016751009251 17171573158716 20033502018502 30050253027753 40067004037004 60100506055506 120201012111012