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12121230123100 = 22527411644725679
BaseRepresentation
bin1011000001100011000110…
…0111011010000001011100
31120220210000100221102221201
42300120301213122001130
53042043234402414400
641440225524205244
72360505245033440
oct260306147320134
946823010842851
1012121230123100
11395364844a68a
121439213539824
1369c0476b7437
142dc956456820
1516047adb206a
hexb06319da05c

12121230123100 has 144 divisors (see below), whose sum is σ = 30796908871680. Its totient is φ = 4054083724800.

The previous prime is 12121230123061. The next prime is 12121230123131. The reversal of 12121230123100 is 132103212121.

It is a super-2 number, since 2×121212301231002 (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 472016061 + ... + 472041739.

It is an arithmetic number, because the mean of its divisors is an integer number (213867422720).

Almost surely, 212121230123100 is an apocalyptic number.

12121230123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121230123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15398454435840).

12121230123100 is an abundant number, since it is smaller than the sum of its proper divisors (18675678748580).

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

12121230123100 is a wasteful number, since it uses less digits than its factorization.

12121230123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42188 (or 42181 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12121230123100 its reverse (132103212121), we get a palindrome (12253333335221).

The spelling of 12121230123100 in words is "twelve trillion, one hundred twenty-one billion, two hundred thirty million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 700 820 1025 1148 1435 2050 2870 4100 5740 7175 14350 16447 25679 28700 32894 51358 65788 82235 102716 115129 128395 164470 179753 230258 256790 328940 359506 411175 460516 513580 575645 641975 674327 719012 822350 898765 1052839 1151290 1283950 1348654 1644700 1797530 2105678 2302580 2567900 2697308 2878225 3371635 3595060 4211356 4493825 4720289 5264195 5756450 6743270 7369873 8987650 9440578 10528390 11512900 13486540 14739746 16858175 17975300 18881156 21056780 23601445 26320975 29479492 33716350 36849365 47202890 52641950 67432700 73698730 94405780 105283900 118007225 147397460 184246825 236014450 368493650 422342513 472028900 736987300 844685026 1689370052 2111712565 2956397591 4223425130 5912795182 8446850260 10558562825 11825590364 14781987955 17316043033 21117125650 29563975910 34632086066 42234251300 59127951820 69264172132 73909939775 86580215165 121212301231 147819879550 173160430330 242424602462 295639759100 346320860660 432901075825 484849204924 606061506155 865802151650 1212123012310 1731604303300 2424246024620 3030307530775 6060615061550 12121230123100