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1200122222112 = 253211234438769
BaseRepresentation
bin10001011101101100110…
…110111101011000100000
311020201201120200122012100
4101131230312331120200
5124130322242101422
62315154544130400
7152464101400512
oct21355466753040
94221646618170
101200122222112
11422a72786400
12174712606a00
138922ba0c198
144212c861bb2
15213407ce7ac
hex1176cdbd620

1200122222112 has 108 divisors (see below), whose sum is σ = 3751311899790. Its totient is φ = 363673390080.

The previous prime is 1200122222111. The next prime is 1200122222153. The reversal of 1200122222112 is 2112222210021.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1117088341776 + 83033880336 = 1056924^2 + 288156^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1200122222111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17184537 + ... + 17254232.

Almost surely, 21200122222112 is an apocalyptic number.

1200122222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1200122222112 is an abundant number, since it is smaller than the sum of its proper divisors (2551189677678).

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

1200122222112 is a wasteful number, since it uses less digits than its factorization.

1200122222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34438807 (or 34438785 counting only the distinct ones).

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

Adding to 1200122222112 its reverse (2112222210021), we get a palindrome (3312344432133).

The spelling of 1200122222112 in words is "one trillion, two hundred billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3872 4356 5808 8712 11616 17424 34848 34438769 68877538 103316307 137755076 206632614 275510152 309948921 378826459 413265228 551020304 619897842 757652918 826530456 1102040608 1136479377 1239795684 1515305836 1653060912 2272958754 2479591368 3030611672 3306121824 3409438131 4167091049 4545917508 4959182736 6061223344 6818876262 8334182098 9091835016 9918365472 12122446688 12501273147 13637752524 16668364196 18183670032 25002546294 27275505048 33336728392 36367340064 37503819441 50005092588 54551010096 66673456784 75007638882 100010185176 109102020192 133346913568 150015277764 200020370352 300030555528 400040740704 600061111056 1200122222112