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12020200122012 = 22341731911752227
BaseRepresentation
bin1010111011101010101111…
…0000100010011010011100
31120120010020102011121211120
42232322223300202122130
53033414332212401022
641322000444450540
72350300523142345
oct256725360423234
946503212147746
1012020200122012
11391481366a515
121421718849a50
136926666951c4
142d7ad06b90cc
1515ca1651bd5c
hexaeeabc2269c

12020200122012 has 96 divisors (see below), whose sum is σ = 29277290778624. Its totient is φ = 3835272268800.

The previous prime is 12020200121999. The next prime is 12020200122013. The reversal of 12020200122012 is 21022100202021.

It is a junction number, because it is equal to n+sod(n) for n = 12020200121982 and 12020200122000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020200122013) 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, 5983843 + ... + 7736069.

It is an arithmetic number, because the mean of its divisors is an integer number (304971778944).

Almost surely, 212020200122012 is an apocalyptic number.

12020200122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12020200122012 is an abundant number, since it is smaller than the sum of its proper divisors (17257090656612).

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

12020200122012 is a wasteful number, since it uses less digits than its factorization.

12020200122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752539 (or 1752537 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12020200122012 its reverse (21022100202021), we get a palindrome (33042300324033).

The spelling of 12020200122012 in words is "twelve trillion, twenty billion, two hundred million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 41 73 82 123 146 164 191 219 246 292 382 438 492 573 764 876 1146 2292 2993 5986 7831 8979 11972 13943 15662 17958 23493 27886 31324 35916 41829 46986 55772 83658 93972 167316 571663 1143326 1714989 1752227 2286652 3429978 3504454 5256681 6859956 7008908 10513362 21026724 71841307 127912571 143682614 215523921 255825142 287365228 334675357 383737713 431047842 511650284 669350714 767475426 862095684 1004026071 1338701428 1534950852 2008052142 4016104284 5244415411 10488830822 13721689637 15733246233 20977661644 24431301061 27443379274 31466492466 41165068911 48862602122 54886758548 62932984932 73293903183 82330137822 97725204244 146587806366 164660275644 293175612732 1001683343501 2003366687002 3005050030503 4006733374004 6010100061006 12020200122012