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12010212112221 = 3319297759104047
BaseRepresentation
bin1010111011000101100001…
…1011010011011101011101
31120112011110022222011012000
42232301120123103131131
53033233403300042341
641313225411032513
72346465152356311
oct256613033233535
946464408864160
1012010212112221
1139105586a4974
12141b7ab89b739
1369173431543b
142d7423d97b41
1515c62e72b8b6
hexaec586d375d

12010212112221 has 64 divisors (see below), whose sum is σ = 19377899520000. Its totient is φ = 7322817410496.

The previous prime is 12010212112139. The next prime is 12010212112253. The reversal of 12010212112221 is 12221121201021.

12010212112221 is a `hidden beast` number, since 120 + 1 + 0 + 212 + 112 + 221 = 666.

It is not a de Polignac number, because 12010212112221 - 210 = 12010212111197 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12010212112194 and 12010212112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010212112421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115378620 + ... + 115482666.

It is an arithmetic number, because the mean of its divisors is an integer number (302779680000).

Almost surely, 212010212112221 is an apocalyptic number.

It is an amenable number.

12010212112221 is a deficient number, since it is larger than the sum of its proper divisors (7367687407779).

12010212112221 is a wasteful number, since it uses less digits than its factorization.

12010212112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111863 (or 111857 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12010212112221 its reverse (12221121201021), we get a palindrome (24231333313242).

The spelling of 12010212112221 in words is "twelve trillion, ten billion, two hundred twelve million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 19 27 29 57 87 171 261 513 551 783 1653 4959 7759 14877 23277 69831 104047 147421 209493 225011 312141 442263 675033 936423 1326789 1976893 2025099 2809269 3017363 3980367 4275209 5930679 6075297 9052089 12825627 17792037 27156267 38476881 53376111 57329897 81468801 115430643 171989691 515969073 807300673 1547907219 2421902019 7265706057 15338712787 21797118171 23411719517 46016138361 70235158551 138048415083 210705475653 414145245249 444822670823 632116426959 1334468012469 4003404037407 12010212112221