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12052234434220 = 22541193439173473
BaseRepresentation
bin1010111101100010000100…
…1001101111011010101100
31120200011220221101021221021
42233120201021233122230
53034430434003343340
641344415311143524
72352513414251521
oct257304111573254
946604827337837
1012052234434220
113927362156402
121427978b14ba4
136956a0359326
142d948cd91148
1515d78da34e4a
hexaf62126f6ac

12052234434220 has 96 divisors (see below), whose sum is σ = 26120854488960. Its totient is φ = 4668256419840.

The previous prime is 12052234434143. The next prime is 12052234434241. The reversal of 12052234434220 is 2243443225021.

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, 69389404 + ... + 69562876.

It is an arithmetic number, because the mean of its divisors is an integer number (272092234260).

Almost surely, 212052234434220 is an apocalyptic number.

12052234434220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12052234434220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13060427244480).

12052234434220 is an abundant number, since it is smaller than the sum of its proper divisors (14068620054740).

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

12052234434220 is a wasteful number, since it uses less digits than its factorization.

12052234434220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174155 (or 174153 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 12052234434220 its reverse (2243443225021), we get a palindrome (14295677659241).

The spelling of 12052234434220 in words is "twelve trillion, fifty-two billion, two hundred thirty-four million, four hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 193 205 386 410 439 772 820 878 965 1756 1930 2195 3860 4390 7913 8780 15826 17999 31652 35998 39565 71996 79130 84727 89995 158260 169454 173473 179990 338908 346946 359980 423635 693892 847270 867365 1694540 1734730 3469460 3473807 6947614 7112393 13895228 14224786 17369035 28449572 33480289 34738070 35561965 66960578 69476140 71123930 76154647 133921156 142247860 152309294 167401445 304618588 334802890 380773235 669605780 761546470 1372691849 1523092940 2745383698 3122340527 5490767396 6244681054 6863459245 12489362108 13726918490 14697846871 15611702635 27453836980 29395693742 31223405270 58791387484 62446810540 73489234355 146978468710 293956937420 602611721711 1205223443422 2410446886844 3013058608555 6026117217110 12052234434220