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11200122121020 = 2235747212071959
BaseRepresentation
bin1010001011111011101101…
…0011001110101100111100
31110122201110202201202100120
42202332323103032230330
52432000322230333040
635453133131054540
72234116316144310
oct242767323165474
943581422652316
1011200122121020
113628a43a50478
12130a7aa2a1450
13633222b30691
142aa135965b40
1514651a7027d0
hexa2fbb4ceb3c

11200122121020 has 144 divisors (see below), whose sum is σ = 36619180039680. Its totient is φ = 2505559026816.

The previous prime is 11200122121007. The next prime is 11200122121033. The reversal of 11200122121020 is 2012122100211.

It is an interprime number because it is at equal distance from previous prime (11200122121007) and next prime (11200122121033).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5108200 + ... + 6963759.

Almost surely, 211200122121020 is an apocalyptic number.

11200122121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200122121020 is an abundant number, since it is smaller than the sum of its proper divisors (25419057918660).

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

11200122121020 is a wasteful number, since it uses less digits than its factorization.

11200122121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12072072 (or 12072023 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11200122121020 its reverse (2012122100211), we get a palindrome (13212244221231).

The spelling of 11200122121020 in words is "eleven trillion, two hundred billion, one hundred twenty-two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 235 282 329 420 470 564 658 705 940 987 1316 1410 1645 1974 2209 2820 3290 3948 4418 4935 6580 6627 8836 9870 11045 13254 15463 19740 22090 26508 30926 33135 44180 46389 61852 66270 77315 92778 132540 154630 185556 231945 309260 463890 927780 12071959 24143918 36215877 48287836 60359795 72431754 84503713 120719590 144863508 169007426 181079385 241439180 253511139 338014852 362158770 422518565 507022278 567382073 724317540 845037130 1014044556 1134764146 1267555695 1690074260 1702146219 2269528292 2535111390 2836910365 3404292438 3971674511 5070222780 5673820730 6808584876 7943349022 8510731095 11347641460 11915023533 15886698044 17021462190 19858372555 23830047066 26666957431 34042924380 39716745110 47660094132 53333914862 59575117665 79433490220 80000872293 106667829724 119150235330 133334787155 160001744586 186668702017 238300470660 266669574310 320003489172 373337404034 400004361465 533339148620 560006106051 746674808068 800008722930 933343510085 1120012212102 1600017445860 1866687020170 2240024424204 2800030530255 3733374040340 5600061060510 11200122121020