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1200222222012 = 22321141565913063
BaseRepresentation
bin10001011101110010110…
…100011011011010111100
311020201222112212011021100
4101131302310123122330
5124131023342101022
62315212515333100
7152466424362432
oct21356264333274
94221875764240
101200222222012
11423014177850
1217473bbb1190
1389246652918
144213bc52d52
15213494841ac
hex11772d1b6bc

1200222222012 has 144 divisors (see below), whose sum is σ = 3391286895360. Its totient is φ = 354743020800.

The previous prime is 1200222222011. The next prime is 1200222222047. The reversal of 1200222222012 is 2102222220021.

It is a super-2 number, since 2×12002222220122 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200222222011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91872993 + ... + 91886055.

It is an arithmetic number, because the mean of its divisors is an integer number (23550603440).

Almost surely, 21200222222012 is an apocalyptic number.

1200222222012 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 1200222222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695643447680).

1200222222012 is an abundant number, since it is smaller than the sum of its proper divisors (2191064673348).

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

1200222222012 is a wasteful number, since it uses less digits than its factorization.

1200222222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18784 (or 18779 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1200222222012 its reverse (2102222220021), we get a palindrome (3302444442033).

The spelling of 1200222222012 in words is "one trillion, two hundred billion, two hundred twenty-two million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 396 451 492 738 902 1353 1476 1804 2706 4059 5412 5659 8118 11318 13063 16236 16977 22636 26126 33954 39189 50931 52252 62249 67908 78378 101862 117567 124498 143693 156756 186747 203724 232019 235134 248996 287386 373494 431079 464038 470268 535583 560241 574772 696057 746988 862158 928076 1071166 1120482 1293237 1392114 1606749 1724316 2088171 2142332 2240964 2552209 2586474 2784228 3213498 4176342 4820247 5104418 5172948 5891413 6426996 7656627 8352684 9640494 10208836 11782826 15313254 17674239 19280988 22969881 23565652 30626508 35348478 45939762 53022717 70696956 73923517 91879524 106045434 147847034 212090868 221770551 295694068 443541102 665311653 813158687 887082204 1330623306 1626317374 2439476061 2661246612 3030864197 3252634748 4878952122 6061728394 7318428183 9092592591 9757904244 12123456788 14636856366 18185185182 27277777773 29273712732 33339506167 36370370364 54555555546 66679012334 100018518501 109111111092 133358024668 200037037002 300055555503 400074074004 600111111006 1200222222012