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112222212223120 = 24517508931621369
BaseRepresentation
bin11001100001000011000101…
…000110000111000010010000
3112201100100010220220011102221
4121201003011012013002100
5104202122042312114440
61034402101135550424
732431534014663616
oct3141030506070220
9481310126804387
10112222212223120
113283719a19a16a
12107054bb98b414
134a8068095068c
141d9d8268d76b6
15ce9255c13d4a
hex6610c5187090

112222212223120 has 80 divisors (see below), whose sum is σ = 276270280003440. Its totient is φ = 42247506051072.

The previous prime is 112222212223109. The next prime is 112222212223133. The reversal of 112222212223120 is 21322212222211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 35787338991504 + 76434873231616 = 5982252^2 + 8742704^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68403796 + ... + 70025164.

It is an arithmetic number, because the mean of its divisors is an integer number (3453378500043).

Almost surely, 2112222212223120 is an apocalyptic number.

112222212223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112222212223120 is an abundant number, since it is smaller than the sum of its proper divisors (164048067780320).

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

112222212223120 is a wasteful number, since it uses less digits than its factorization.

112222212223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672292 (or 1672286 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 112222212223120 its reverse (21322212222211), we get a palindrome (133544424445331).

Subtracting from 112222212223120 its reverse (21322212222211), we obtain a palindrome (90900000000909).

The spelling of 112222212223120 in words is "one hundred twelve trillion, two hundred twenty-two billion, two hundred twelve million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 50893 101786 203572 254465 407144 508930 814288 865181 1017860 1621369 1730362 2035720 3242738 3460724 4071440 4325905 6485476 6921448 8106845 8651810 12970952 13842896 16213690 17303620 25941904 27563273 32427380 34607240 55126546 64854760 69214480 110253092 129709520 137816365 220506184 275632730 441012368 551265460 1102530920 2205061840 82516332517 165032665034 330065330068 412581662585 660130660136 825163325170 1320261320272 1402777652789 1650326650340 2805555305578 3300653300680 5611110611156 6601306601360 7013888263945 11222221222312 14027776527890 22444442444624 28055553055780 56111106111560 112222212223120