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1200120220002 = 2311475914534513
BaseRepresentation
bin10001011101101100101…
…111010100100101100010
311020201201102220220211010
4101131230233110211202
5124130321234020002
62315154433201350
7152464045361454
oct21355457244542
94221642826733
101200120220002
11422a71639170
12174711a00256
138922b48aac2
144212c4a02d4
152134053646c
hex1176cbd4962

1200120220002 has 128 divisors (see below), whose sum is σ = 2721955000320. Its totient is φ = 349583984640.

The previous prime is 1200120219989. The next prime is 1200120220009. The reversal of 1200120220002 is 2000220210021.

It is a self number, because there is not a number n which added to its sum of digits gives 1200120220002.

It is not an unprimeable number, because it can be changed into a prime (1200120220009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265922898 + ... + 265927410.

It is an arithmetic number, because the mean of its divisors is an integer number (21265273440).

Almost surely, 21200120220002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200120220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360977500160).

1200120220002 is an abundant number, since it is smaller than the sum of its proper divisors (1521834780318).

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

1200120220002 is a wasteful number, since it uses less digits than its factorization.

1200120220002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6088.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1200120220002 its reverse (2000220210021), we get a palindrome (3200340430023).

The spelling of 1200120220002 in words is "one trillion, two hundred billion, one hundred twenty million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 11 22 33 47 59 66 94 118 141 177 282 354 517 649 1034 1298 1453 1551 1947 2773 2906 3102 3894 4359 4513 5546 8319 8718 9026 13539 15983 16638 27078 30503 31966 47949 49643 61006 68291 85727 91509 95898 99286 136582 148929 171454 183018 204873 212111 257181 266267 297858 409746 424222 514362 532534 636333 751201 798801 942997 1272666 1502402 1597602 1885994 2253603 2333221 2828991 2928937 4029169 4507206 4666442 5657982 5857874 6557389 6999663 8058338 8786811 12087507 12514549 13114778 13999326 17573622 19672167 24175014 25029098 37543647 39344334 44320859 72131279 75087294 88641718 132962577 137660039 144262558 216393837 265925154 275320078 308197283 386885951 412980117 432787674 616394566 773771902 825960234 924591849 1160657853 1849183698 2321315706 3390170113 4255745461 6780340226 8511490922 10170510339 12767236383 18183639697 20341020678 25534472766 36367279394 54550919091 109101838182 200020036667 400040073334 600060110001 1200120220002