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11200020221200 = 24521031272140513
BaseRepresentation
bin1010001011111011010100…
…1110100000110100010000
31110122201012122222201002011
42202332311032200310100
52432000120134034300
635453115051032304
72234113641050266
oct242766516406420
943581178881064
1011200020221200
1136289a1481648
12130a78013b694
136332079a3225
142aa1261dc436
151465117c4eba
hexa2fb53a0d10

11200020221200 has 120 divisors (see below), whose sum is σ = 27383235995648. Its totient is φ = 4401577635840.

The previous prime is 11200020221161. The next prime is 11200020221231. The reversal of 11200020221200 is 212202000211.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4162144 + ... + 6302656.

Almost surely, 211200020221200 is an apocalyptic number.

11200020221200 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 11200020221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13691617997824).

11200020221200 is an abundant number, since it is smaller than the sum of its proper divisors (16183215774448).

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

11200020221200 is a wasteful number, since it uses less digits than its factorization.

11200020221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140761 (or 2140750 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11200020221200 its reverse (212202000211), we get a palindrome (11412222221411).

The spelling of 11200020221200 in words is "eleven trillion, two hundred billion, twenty million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 103 127 200 206 254 400 412 508 515 635 824 1016 1030 1270 1648 2032 2060 2540 2575 3175 4120 5080 5150 6350 8240 10160 10300 12700 13081 20600 25400 26162 41200 50800 52324 65405 104648 130810 209296 261620 327025 523240 654050 1046480 1308100 2140513 2616200 4281026 5232400 8562052 10702565 17124104 21405130 34248208 42810260 53512825 85620520 107025650 171241040 214051300 220472839 271845151 428102600 440945678 543690302 856205200 881891356 1087380604 1102364195 1359225755 1763782712 2174761208 2204728390 2718451510 3527565424 4349522416 4409456780 5436903020 5511820975 6796128775 8818913560 10873806040 11023641950 13592257550 17637827120 21747612080 22047283900 27184515100 28000050553 44094567800 54369030200 56000101106 88189135600 108738060400 112000202212 140000252765 224000404424 280000505530 448000808848 560001011060 700001263825 1120002022120 1400002527650 2240004044240 2800005055300 5600010110600 11200020221200