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1200223310112 = 25325979894109
BaseRepresentation
bin10001011101110010111…
…000100101000100100000
311020201222121220102212100
4101131302320211010200
5124131024131410422
62315212554530400
7152466436543641
oct21356270450440
94221877812770
101200223310112
11423014850302
12174740436a00
1389246943c78
144213c0576c8
15213495eb7ac
hex11772e25120

1200223310112 has 144 divisors (see below), whose sum is σ = 3514925232000. Its totient is φ = 388314680832.

The previous prime is 1200223310107. The next prime is 1200223310141. The reversal of 1200223310112 is 2110133220021.

1200223310112 is a `hidden beast` number, since 1 + 20 + 0 + 223 + 310 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12002233101122 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 895314 + ... + 1789422.

It is an arithmetic number, because the mean of its divisors is an integer number (24409203000).

Almost surely, 21200223310112 is an apocalyptic number.

1200223310112 is a gapful number since it is divisible by the number (12) 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 1200223310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757462616000).

1200223310112 is an abundant number, since it is smaller than the sum of its proper divisors (2314701921888).

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

1200223310112 is a wasteful number, since it uses less digits than its factorization.

1200223310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894263 (or 894252 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1200223310112 its reverse (2110133220021), we get a palindrome (3310356530133).

Subtracting 1200223310112 from its reverse (2110133220021), we obtain a palindrome (909909909909).

The spelling of 1200223310112 in words is "one trillion, two hundred billion, two hundred twenty-three million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 79 96 118 144 158 177 236 237 288 316 354 472 474 531 632 708 711 944 948 1062 1264 1416 1422 1888 1896 2124 2528 2832 2844 3792 4248 4661 5664 5688 7584 8496 9322 11376 13983 16992 18644 22752 27966 37288 41949 55932 74576 83898 111864 149152 167796 223728 335592 447456 671184 894109 1342368 1788218 2682327 3576436 5364654 7152872 8046981 10729308 14305744 16093962 21458616 28611488 32187924 42917232 52752431 64375848 70634611 85834464 105504862 128751696 141269222 158257293 211009724 211903833 257503392 282538444 316514586 422019448 423807666 474771879 565076888 633029172 635711499 844038896 847615332 949543758 1130153776 1266058344 1271422998 1688077792 1695230664 1899087516 2260307552 2532116688 2542845996 3390461328 3798175032 4167442049 5064233376 5085691992 6780922656 7596350064 8334884098 10171383984 12502326147 15192700128 16669768196 20342767968 25004652294 33339536392 37506978441 50009304588 66679072784 75013956882 100018609176 133358145568 150027913764 200037218352 300055827528 400074436704 600111655056 1200223310112