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121222212010200 = 23325279620810477
BaseRepresentation
bin11011100100000000111110…
…111000101100000011011000
3120220012201201101022011201100
4123210000332320230003120
5111342101042233311300
61105452414305551400
734351005263644350
oct3344007670540330
9526181641264640
10121222212010200
1135697062472324
1211719815645560
135284289767482
1421d1287565b60
15e0340439c700
hex6e403ee2c0d8

121222212010200 has 144 divisors (see below), whose sum is σ = 465262394716080. Its totient is φ = 27707934170880.

The previous prime is 121222212010183. The next prime is 121222212010201. The reversal of 121222212010200 is 2010212222121.

It is a happy number.

121222212010200 is a `hidden beast` number, since 1 + 21 + 22 + 221 + 201 + 0 + 200 = 666.

It is a super-3 number, since 3×1212222120102003 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121222212010201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4810392639 + ... + 4810417838.

It is an arithmetic number, because the mean of its divisors is an integer number (3230988852195).

Almost surely, 2121222212010200 is an apocalyptic number.

121222212010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121222212010200 is an abundant number, since it is smaller than the sum of its proper divisors (344040182705880).

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

121222212010200 is a wasteful number, since it uses less digits than its factorization.

121222212010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9620810506 (or 9620810494 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121222212010200 its reverse (2010212222121), we get a palindrome (123232424232321).

The spelling of 121222212010200 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, two hundred twelve million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 12600 9620810477 19241620954 28862431431 38483241908 48104052385 57724862862 67345673339 76966483816 86587294293 96208104770 115449725724 134691346678 144312157155 173174588586 192416209540 202037020017 230899451448 240520261925 269382693356 288624314310 336728366695 346349177172 384832419080 404074040034 432936471465 481040523850 538765386712 577248628620 606111060051 673456733390 692698354344 721560785775 808148080068 865872942930 962081047700 1010185100085 1154497257240 1212222120102 1346913466780 1443121571550 1616296160136 1683641833475 1731745885860 1924162095400 2020370200170 2164682357325 2424444240204 2693826933560 2886243143100 3030555300255 3367283666950 3463491771720 4040740400340 4329364714650 4848888480408 5050925500425 5772486286200 6061110600510 6734567333900 8081480800680 8658729429300 10101851000850 12122221201020 13469134667800 15152776501275 17317458858600 20203702001700 24244442402040 30305553002550 40407404003400 60611106005100 121222212010200