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11200121112012 = 2237296477106261
BaseRepresentation
bin1010001011111011101100…
…1111011000010111001100
31110122201110200211111020220
42202332323033120113030
52432000322001041022
635453133053311340
72234116304442510
oct242767317302714
943581420744226
1011200121112012
113628a43421388
12130a7a9a95550
13633222869331
142aa135782140
1514651a5a385c
hexa2fbb3d85cc

11200121112012 has 96 divisors (see below), whose sum is σ = 30944644254720. Its totient is φ = 3084912741120.

The previous prime is 11200121112001. The next prime is 11200121112119. The reversal of 11200121112012 is 21021112100211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11200121111982 and 11200121112000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1977039 + ... + 5129222.

It is an arithmetic number, because the mean of its divisors is an integer number (322340044320).

Almost surely, 211200121112012 is an apocalyptic number.

11200121112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11200121112012 is an abundant number, since it is smaller than the sum of its proper divisors (19744523142708).

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

11200121112012 is a wasteful number, since it uses less digits than its factorization.

11200121112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7106951 (or 7106949 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11200121112012 its reverse (21021112100211), we get a palindrome (32221233212223).

The spelling of 11200121112012 in words is "eleven trillion, two hundred billion, one hundred twenty-one million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 647 812 1218 1294 1941 2436 2588 3882 4529 7764 9058 13587 18116 18763 27174 37526 54348 56289 75052 112578 131341 225156 262682 394023 525364 788046 1576092 7106261 14212522 21318783 28425044 42637566 49743827 85275132 99487654 149231481 198975308 206081569 298462962 412163138 596925924 618244707 824326276 1236489414 1442570983 2472978828 2885141966 4327712949 4597750867 5770283932 8655425898 9195501734 13793252601 17310851796 18391003468 27586505202 32184256069 55173010404 64368512138 96552768207 128737024276 133334775143 193105536414 266669550286 386211072828 400004325429 533339100572 800008650858 933343426001 1600017301716 1866686852002 2800030278003 3733373704004 5600060556006 11200121112012