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12121312331100 = 22352719303792289
BaseRepresentation
bin1011000001100011011010…
…0001000000010101011100
31120220210020002122001010110
42300120312201000111130
53042043421424043400
641440242022210020
72360510263554060
oct260306641002534
946823202561113
1012121312331100
11395368a899785
121439236b83910
1369c05b73b81b
142dc963335aa0
151604831eee50
hexb063684055c

12121312331100 has 144 divisors (see below), whose sum is σ = 42190673235200. Its totient is φ = 2624765368320.

The previous prime is 12121312331057. The next prime is 12121312331101. The reversal of 12121312331100 is 113321312121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121312331101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151856245 + ... + 151936044.

Almost surely, 212121312331100 is an apocalyptic number.

12121312331100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121312331100 is an abundant number, since it is smaller than the sum of its proper divisors (30069360904100).

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

12121312331100 is a wasteful number, since it uses less digits than its factorization.

12121312331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303792332 (or 303792325 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12121312331100 its reverse (113321312121), we get a palindrome (12234633643221).

The spelling of 12121312331100 in words is "twelve trillion, one hundred twenty-one billion, three hundred twelve million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 70 75 76 84 95 100 105 114 133 140 150 175 190 210 228 266 285 300 350 380 399 420 475 525 532 570 665 700 798 950 1050 1140 1330 1425 1596 1900 1995 2100 2660 2850 3325 3990 5700 6650 7980 9975 13300 19950 39900 303792289 607584578 911376867 1215169156 1518961445 1822753734 2126546023 3037922890 3645507468 4253092046 4556884335 5772053491 6075845780 6379638069 7594807225 8506184092 9113768670 10632730115 11544106982 12759276138 15189614450 17316160473 18227537340 21265460230 22784421675 23088213964 25518552276 28860267455 30379228900 31898190345 34632320946 40404374437 42530920460 45568843350 53163650575 57720534910 63796380690 69264641892 80808748874 86580802365 91137686700 106327301150 115441069820 121213123311 127592761380 144301337275 159490951725 161617497748 173161604730 202021872185 212654602300 242426246622 288602674550 318981903450 346323209460 404043744370 432904011825 484852493244 577205349100 606065616555 637963806900 808087488740 865808023650 1010109360925 1212131233110 1731616047300 2020218721850 2424262466220 3030328082775 4040437443700 6060656165550 12121312331100