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12257688868980 = 22351913617900337
BaseRepresentation
bin1011001001011111011100…
…1100001101100001110100
31121101211020102010222021220
42302113313030031201310
53101312221322301410
642023034324510340
72403405646162632
oct262276714154164
947354212128256
1012257688868980
1139a650289a125
12145b75724b3b0
136abb836c7499
143053bd628352
15163cb5c78070
hexb25f730d874

12257688868980 has 96 divisors (see below), whose sum is σ = 36154474796160. Its totient is φ = 3094403604480.

The previous prime is 12257688868933. The next prime is 12257688869009. The reversal of 12257688868980 is 8986888675221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12257688868896 and 12257688868905.

It is a congruent number.

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, 2398629 + ... + 5501708.

It is an arithmetic number, because the mean of its divisors is an integer number (376609112460).

Almost surely, 212257688868980 is an apocalyptic number.

12257688868980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12257688868980 is an abundant number, since it is smaller than the sum of its proper divisors (23896785927180).

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

12257688868980 is a wasteful number, since it uses less digits than its factorization.

12257688868980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7901729 (or 7901727 counting only the distinct ones).

The product of its (nonzero) digits is 1486356480, while the sum is 78.

The spelling of 12257688868980 in words is "twelve trillion, two hundred fifty-seven billion, six hundred eighty-eight million, eight hundred sixty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1361 2722 4083 5444 6805 8166 13610 16332 20415 25859 27220 40830 51718 77577 81660 103436 129295 155154 258590 310308 387885 517180 775770 1551540 7900337 15800674 23701011 31601348 39501685 47402022 79003370 94804044 118505055 150106403 158006740 237010110 300212806 450319209 474020220 600425612 750532015 900638418 1501064030 1801276836 2251596045 3002128060 4503192090 9006384180 10752358657 21504717314 32257075971 43009434628 53761793285 64514151942 107523586570 129028303884 161285379855 204294814483 215047173140 322570759710 408589628966 612884443449 645141519420 817179257932 1021474072415 1225768886898 2042948144830 2451537773796 3064422217245 4085896289660 6128844434490 12257688868980