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1200120010020 = 223451076923503
BaseRepresentation
bin10001011101101100101…
…110100001010100100100
311020201201102112020210000
4101131230232201110210
5124130321210310040
62315154424501300
7152464043525331
oct21355456412444
94221642466700
101200120010020
11422a71505428
1217471191a830
138922b416359
144212c447988
15213404e4130
hex1176cba1524

1200120010020 has 120 divisors (see below), whose sum is σ = 3800006711424. Its totient is φ = 317041003584.

The previous prime is 1200120009973. The next prime is 1200120010027. The reversal of 1200120010020 is 200100210021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1200120009984 and 1200120010011.

It is not an unprimeable number, because it can be changed into a prime (1200120010027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3288412 + ... + 3635091.

Almost surely, 21200120010020 is an apocalyptic number.

1200120010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200120010020 is an abundant number, since it is smaller than the sum of its proper divisors (2599886701404).

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

1200120010020 is a wasteful number, since it uses less digits than its factorization.

1200120010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6923631 (or 6923620 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1200120010020 its reverse (200100210021), we get a palindrome (1400220220041).

The spelling of 1200120010020 in words is "one trillion, two hundred billion, one hundred twenty million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 107 108 135 162 180 214 270 321 324 405 428 535 540 642 810 963 1070 1284 1605 1620 1926 2140 2889 3210 3852 4815 5778 6420 8667 9630 11556 14445 17334 19260 28890 34668 43335 57780 86670 173340 6923503 13847006 20770509 27694012 34617515 41541018 62311527 69235030 83082036 103852545 124623054 138470060 186934581 207705090 249246108 311557635 373869162 415410180 560803743 623115270 740814821 747738324 934672905 1121607486 1246230540 1481629642 1869345810 2222444463 2243214972 2804018715 2963259284 3704074105 3738691620 4444888926 5608037430 6667333389 7408148210 8889777852 11112222315 11216074860 13334666778 14816296420 20002000167 22224444630 26669333556 33336666945 40004000334 44448889260 60006000501 66673333890 80008000668 100010000835 120012001002 133346667780 200020001670 240024002004 300030002505 400040003340 600060005010 1200120010020