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11121000200120 = 2351741928142979
BaseRepresentation
bin1010000111010100111101…
…0001000011011110111000
31110101011020121212201102202
42201311033101003132320
52424201302022400440
635352530021445332
72225315516002136
oct241651721033670
943334217781382
1011121000200120
1135a84317641a8
1212b73a8570848
136289238b86c5
142a638b67c756
15144439380615
hexa1d4f4437b8

11121000200120 has 128 divisors (see below), whose sum is σ = 27143902094400. Its totient is φ = 4084079001600.

The previous prime is 11121000200119. The next prime is 11121000200179. The reversal of 11121000200120 is 2100200012111.

11121000200120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 258732791 + ... + 258775769.

Almost surely, 211121000200120 is an apocalyptic number.

11121000200120 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 11121000200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13571951047200).

11121000200120 is an abundant number, since it is smaller than the sum of its proper divisors (16022901894280).

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

11121000200120 is a wasteful number, since it uses less digits than its factorization.

11121000200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52329 (or 52325 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11121000200120 its reverse (2100200012111), we get a palindrome (13221200212231).

The spelling of 11121000200120 in words is "eleven trillion, one hundred twenty-one billion, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 328 340 410 680 697 820 1394 1640 2788 3485 5576 6970 9281 13940 18562 27880 37124 42979 46405 74248 85958 92810 157777 171916 185620 214895 315554 343832 371240 380521 429790 631108 730643 761042 788885 859580 1262216 1461286 1522084 1577770 1719160 1762139 1902605 2922572 3044168 3155540 3524278 3653215 3805210 5845144 6311080 6468857 7048556 7306430 7610420 8810695 12937714 14097112 14612860 15220840 17621390 25875428 29225720 29956363 32344285 35242780 51750856 59912726 64688570 70485560 119825452 129377140 149781815 239650904 258754280 299563630 398888099 599127260 797776198 1198254520 1595552396 1994440495 3191104792 3988880990 6781097683 7977761980 13562195366 15955523960 16354412059 27124390732 32708824118 33905488415 54248781464 65417648236 67810976830 81772060295 130835296472 135621953660 163544120590 271243907320 278025005003 327088241180 556050010006 654176482360 1112100020012 1390125025015 2224200040024 2780250050030 5560500100060 11121000200120