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20123212123300 = 225211131638633237
BaseRepresentation
bin1001001001101010011001…
…11010010000110010100100
32122020202112020210212221211
410210311030322100302210
510114144314300421200
6110444250453321204
74144565645546146
oct444651472206244
978222466725854
1020123212123300
11645922a6a5a10
12231001b036204
13b2c7c2ac2a80
144d7d7c026c96
1524d6b6d31aba
hex124d4ce90ca4

20123212123300 has 144 divisors (see below), whose sum is σ = 51616265222592. Its totient is φ = 6713204313600.

The previous prime is 20123212123237. The next prime is 20123212123303. The reversal of 20123212123300 is 332121232102.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (20123212123303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1985719 + ... + 6647518.

It is an arithmetic number, because the mean of its divisors is an integer number (358446286268).

Almost surely, 220123212123300 is an apocalyptic number.

20123212123300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20123212123300 is an abundant number, since it is smaller than the sum of its proper divisors (31493053099292).

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

20123212123300 is a wasteful number, since it uses less digits than its factorization.

20123212123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8633438 (or 8633431 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 20123212123300 its reverse (332121232102), we get a palindrome (20455333355402).

The spelling of 20123212123300 in words is "twenty trillion, one hundred twenty-three billion, two hundred twelve million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 163 220 260 275 286 325 326 550 572 650 652 715 815 1100 1300 1430 1630 1793 2119 2860 3260 3575 3586 4075 4238 7150 7172 8150 8476 8965 10595 14300 16300 17930 21190 23309 35860 42380 44825 46618 52975 89650 93236 105950 116545 179300 211900 233090 466180 582725 1165450 2330900 8633237 17266474 34532948 43166185 86332370 94965607 112232081 172664740 189931214 215830925 224464162 379862428 431661850 448928324 474828035 561160405 863323700 949656070 1122320810 1234552891 1407217631 1899312140 2244641620 2374140175 2469105782 2805802025 2814435262 4748280350 4938211564 5611604050 5628870524 6172764455 7036088155 9496560700 11223208100 12345528910 14072176310 15479393941 18293829203 24691057820 28144352620 30863822275 30958787882 35180440775 36587658406 61727644550 61917575764 70360881550 73175316812 77396969705 91469146015 123455289100 140721763100 154793939410 182938292030 201232121233 309587878820 365876584060 386984848525 402464242466 457345730075 773969697050 804928484932 914691460150 1006160606165 1547939394100 1829382920300 2012321212330 4024642424660 5030803030825 10061606061650 20123212123300