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1200002011020 = 22325193359104459
BaseRepresentation
bin10001011101100101101…
…100011000111110001100
311020201102012111021120200
4101131211230120332030
5124130101003323040
62315135011413500
7152461111540041
oct21354554307614
94221365437520
101200002011020
11422a1093aa9a
1217469a2b4290
138920cb40167
144211a8cd1c8
1521334e86630
hex11765b18f8c

1200002011020 has 144 divisors (see below), whose sum is σ = 3832762752000. Its totient is φ = 303065248896.

The previous prime is 1200002011009. The next prime is 1200002011031. The reversal of 1200002011020 is 201102000021.

It is an interprime number because it is at equal distance from previous prime (1200002011009) and next prime (1200002011031).

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 = 1200002010993 and 1200002011011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11435551 + ... + 11540009.

It is an arithmetic number, because the mean of its divisors is an integer number (26616408000).

Almost surely, 21200002011020 is an apocalyptic number.

1200002011020 is a gapful number since it is divisible by the number (10) 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 1200002011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916381376000).

1200002011020 is an abundant number, since it is smaller than the sum of its proper divisors (2632760740980).

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

1200002011020 is a wasteful number, since it uses less digits than its factorization.

1200002011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107852 (or 107847 counting only the distinct ones).

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

Adding to 1200002011020 its reverse (201102000021), we get a palindrome (1401104011041).

The spelling of 1200002011020 in words is "one trillion, two hundred billion, two million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3359 3420 6718 10077 13436 16795 20154 30231 33590 40308 50385 60462 63821 67180 100770 104459 120924 127642 151155 191463 201540 208918 255284 302310 313377 319105 382926 417836 522295 574389 604620 626754 638210 765852 940131 957315 1044590 1148778 1253508 1276420 1566885 1880262 1914630 1984721 2089180 2297556 2871945 3133770 3760524 3829260 3969442 4700655 5743890 5954163 6267540 7938884 9401310 9923605 11487780 11908326 17862489 18802620 19847210 23816652 29770815 35724978 39694420 59541630 71449956 89312445 119083260 178624890 350877781 357249780 701755562 1052633343 1403511124 1754388905 2105266686 3157900029 3508777810 4210533372 5263166715 6315800058 6666677839 7017555620 10526333430 12631600116 13333355678 15789500145 20000033517 21052666860 26666711356 31579000290 33333389195 40000067034 60000100551 63158000580 66666778390 80000134068 100000167585 120000201102 133333556780 200000335170 240000402204 300000502755 400000670340 600001005510 1200002011020