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11120012002120 = 2357891571284041
BaseRepresentation
bin1010000111010001010001…
…0111011000001101001000
31110101001200202102001121211
42201310110113120031020
52424142241033031440
635352244001142504
72225252156314330
oct241642427301510
943331622361554
1011120012002120
1135a7a7497143a
1212b717162aa34
136287c6c51368
142a62d63240c0
151443cc730eea
hexa1d145d8348

11120012002120 has 128 divisors (see below), whose sum is σ = 28934108755200. Its totient is φ = 3767324774400.

The previous prime is 11120012002109. The next prime is 11120012002129. The reversal of 11120012002120 is 2120021002111.

It is a self number, because there is not a number n which added to its sum of digits gives 11120012002120.

It is not an unprimeable number, because it can be changed into a prime (11120012002129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39007300 + ... + 39291340.

It is an arithmetic number, because the mean of its divisors is an integer number (226047724650).

Almost surely, 211120012002120 is an apocalyptic number.

11120012002120 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 11120012002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14467054377600).

11120012002120 is an abundant number, since it is smaller than the sum of its proper divisors (17814096753080).

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

11120012002120 is a wasteful number, since it uses less digits than its factorization.

11120012002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285719 (or 285715 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11120012002120 its reverse (2120021002111), we get a palindrome (13240033004231).

The spelling of 11120012002120 in words is "eleven trillion, one hundred twenty billion, twelve million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 140 178 280 356 445 623 712 890 1246 1571 1780 2492 3115 3142 3560 4984 6230 6284 7855 10997 12460 12568 15710 21994 24920 31420 43988 54985 62840 87976 109970 139819 219940 279638 284041 439880 559276 568082 699095 978733 1118552 1136164 1398190 1420205 1957466 1988287 2272328 2796380 2840410 3914932 3976574 4893665 5592760 5680820 7829864 7953148 9787330 9941435 11361640 15906296 19574660 19882870 25279649 39149320 39765740 50559298 79531480 101118596 126398245 176957543 202237192 252796490 353915086 446228411 505592980 707830172 884787715 892456822 1011185960 1415660344 1769575430 1784913644 2231142055 3123598877 3539150860 3569827288 4462284110 6247197754 7078301720 8924568220 12494395508 15617994385 17849136440 24988791016 31235988770 39714328579 62471977540 79428657158 124943955080 158857314316 198571642895 278000300053 317714628632 397143285790 556000600106 794286571580 1112001200212 1390001500265 1588573143160 2224002400424 2780003000530 5560006001060 11120012002120