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20010121221200 = 24521119239355517
BaseRepresentation
bin1001000110010111110000…
…01010101101010001010000
32121211221121202022211000012
410203023320022231101100
510110321212013034300
6110320304531014052
74133453313002255
oct443137012552120
977757552284005
1020010121221200
116415276848360
1222b211913a328
13b21c3c134c16
144d26d053742c
1524a7986db435
hex1232f82ad450

20010121221200 has 120 divisors (see below), whose sum is σ = 55204956671520. Its totient is φ = 6893438860800.

The previous prime is 20010121221173. The next prime is 20010121221239. The reversal of 20010121221200 is 212212101002.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 119594159 + ... + 119761358.

It is an arithmetic number, because the mean of its divisors is an integer number (460041305596).

Almost surely, 220010121221200 is an apocalyptic number.

20010121221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010121221200 is an abundant number, since it is smaller than the sum of its proper divisors (35194835450320).

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

20010121221200 is a wasteful number, since it uses less digits than its factorization.

20010121221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239355565 (or 239355554 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20010121221200 its reverse (212212101002), we get a palindrome (20222333322202).

The spelling of 20010121221200 in words is "twenty trillion, ten billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 38 40 44 50 55 76 80 88 95 100 110 152 176 190 200 209 220 275 304 380 400 418 440 475 550 760 836 880 950 1045 1100 1520 1672 1900 2090 2200 3344 3800 4180 4400 5225 7600 8360 10450 16720 20900 41800 83600 239355517 478711034 957422068 1196777585 1914844136 2393555170 2632910687 3829688272 4547754823 4787110340 5265821374 5983887925 9095509646 9574220680 10531642748 11967775850 13164553435 18191019292 19148441360 21063285496 22738774115 23935551700 26329106870 36382038584 42126570992 45477548230 47871103400 50025303053 52658213740 65822767175 72764077168 90955096460 95742206800 100050606106 105316427480 113693870575 131645534350 181910192920 200101212212 210632854960 227387741150 250126515265 263291068700 363820385840 400202424424 454775482300 500253030530 526582137400 800404848848 909550964600 1000506061060 1053164274800 1250632576325 1819101929200 2001012122120 2501265152650 4002024244240 5002530305300 10005060610600 20010121221200