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12121200231200 = 255227754698557
BaseRepresentation
bin1011000001100010111111…
…0101011000001100100000
31120220202221021200202222022
42300120233311120030200
53042043204224344300
641440222535401012
72360504432665154
oct260305765301440
946822837622868
1012121200231200
113953632593435
121439205523168
1369c04144c718
142dc9524b5064
1516047845a285
hexb062fd58320

12121200231200 has 72 divisors (see below), whose sum is σ = 29697706889172. Its totient is φ = 4830976465920.

The previous prime is 12121200231193. The next prime is 12121200231209. The reversal of 12121200231200 is 213200212121.

It can be written as a sum of positive squares in 6 ways, for example, as 2015184663184 + 10106015568016 = 1419572^2 + 3178996^2 .

It is not an unprimeable number, because it can be changed into a prime (12121200231209) 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 11 ways as a sum of consecutive naturals, for example, 27127679 + ... + 27570878.

Almost surely, 212121200231200 is an apocalyptic number.

12121200231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121200231200 is an abundant number, since it is smaller than the sum of its proper divisors (17576506657972).

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

12121200231200 is a wasteful number, since it uses less digits than its factorization.

12121200231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54698854 (or 54698841 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12121200231200 its reverse (213200212121), we get a palindrome (12334400443321).

The spelling of 12121200231200 in words is "twelve trillion, one hundred twenty-one billion, two hundred million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 277 400 554 800 1108 1385 2216 2770 4432 5540 6925 8864 11080 13850 22160 27700 44320 55400 110800 221600 54698557 109397114 218794228 273492785 437588456 546985570 875176912 1093971140 1367463925 1750353824 2187942280 2734927850 4375884560 5469855700 8751769120 10939711400 15151500289 21879422800 30303000578 43758845600 60606001156 75757501445 121212002312 151515002890 242424004624 303030005780 378787507225 484848009248 606060011560 757575014450 1212120023120 1515150028900 2424240046240 3030300057800 6060600115600 12121200231200