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12012100200012 = 22311217946216739
BaseRepresentation
bin1010111011001100100011…
…1101110010011001001100
31120112100022220201221201110
42232303020331302121030
53033301240122400022
641314141015212020
72346563020013403
oct256631075623114
946470286657643
1012012100200012
113911337454200
121420038077010
13691975537c53
142d7562a4063a
1515c6e038500c
hexaecc8f7264c

12012100200012 has 72 divisors (see below), whose sum is σ = 30980005156800. Its totient is φ = 3619694920160.

The previous prime is 12012100200011. The next prime is 12012100200013. The reversal of 12012100200012 is 21000200121021.

It is an interprime number because it is at equal distance from previous prime (12012100200011) and next prime (12012100200013).

It is a super-3 number, since 3×120121002000123 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12012100200011) 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 23 ways as a sum of consecutive naturals, for example, 22848462 + ... + 23368277.

It is an arithmetic number, because the mean of its divisors is an integer number (430277849400).

Almost surely, 212012100200012 is an apocalyptic number.

12012100200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12012100200012 is an abundant number, since it is smaller than the sum of its proper divisors (18967904956788).

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

12012100200012 is a wasteful number, since it uses less digits than its factorization.

12012100200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46216947 (or 46216934 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12012100200012 its reverse (21000200121021), we get a palindrome (33012300321033).

The spelling of 12012100200012 in words is "twelve trillion, twelve billion, one hundred million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 179 242 358 363 484 537 716 726 1074 1452 1969 2148 3938 5907 7876 11814 21659 23628 43318 64977 86636 129954 259908 46216739 92433478 138650217 184866956 277300434 508384129 554600868 1016768258 1525152387 2033536516 3050304774 5592225419 6100609548 8272796281 11184450838 16545592562 16776676257 22368901676 24818388843 33091185124 33553352514 49636777686 67106705028 91000759091 99273555372 182001518182 273002277273 364003036364 546004554546 1001008350001 1092009109092 2002016700002 3003025050003 4004033400004 6006050100006 12012100200012