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12002012330202 = 23217531068769247
BaseRepresentation
bin1010111010100110111110…
…1011100111100011011010
31120111101021212122001212200
42232221233223213203122
53033120110124031302
641305352013151030
72346055024360266
oct256515753474332
946441255561780
1012002012330202
113908030083314
12141a0a178b476
13690a2859330b
142d6c86d670a6
1515c2ee91b81c
hexaea6fae78da

12002012330202 has 96 divisors (see below), whose sum is σ = 28056568430592. Its totient is φ = 3693894077952.

The previous prime is 12002012330171. The next prime is 12002012330249. The reversal of 12002012330202 is 20203321020021.

12002012330202 is a `hidden beast` number, since 120 + 0 + 2 + 0 + 12 + 330 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173287143 + ... + 173356389.

It is an arithmetic number, because the mean of its divisors is an integer number (292255921152).

Almost surely, 212002012330202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002012330202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14028284215296).

12002012330202 is an abundant number, since it is smaller than the sum of its proper divisors (16054556100390).

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

12002012330202 is a wasteful number, since it uses less digits than its factorization.

12002012330202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80012 (or 80009 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12002012330202 its reverse (20203321020021), we get a palindrome (32205333350223).

The spelling of 12002012330202 in words is "twelve trillion, two billion, twelve million, three hundred thirty thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 53 102 106 153 159 306 318 477 901 954 1802 2703 5406 8109 10687 16218 21374 32061 64122 69247 96183 138494 181679 192366 207741 363358 415482 545037 566411 623223 1090074 1132822 1177199 1246446 1635111 1699233 2354398 3270222 3398466 3531597 3670091 5097699 7063194 7340182 9628987 10195398 10594791 11010273 19257974 21189582 22020546 28886961 33030819 57773922 62391547 66061638 86660883 124783094 173321766 187174641 374349282 561523923 740042689 1123047846 1480085378 2220128067 4440256134 6660384201 12580725713 13320768402 25161451426 37742177139 39222262517 75484354278 78444525034 113226531417 117666787551 226453062834 235333575102 353000362653 666778462789 706000725306 1333556925578 2000335388367 4000670776734 6001006165101 12002012330202