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200221120021120 = 2751159347960371
BaseRepresentation
bin101101100001100110011100…
…101111000100001010000000
3222020220221201002221222110021
4231201212130233010022000
5202220410323211133440
61545500151314543224
760113333001426232
oct5541463457041200
9866827632858407
10200221120021120
1158884333552a60
121a55823bb97b14
138794a03026573
143762a7aa5c252
15182332676c84a
hexb6199cbc4280

200221120021120 has 128 divisors (see below), whose sum is σ = 523048143372480. Its totient is φ = 72684899942400.

The previous prime is 200221120021093. The next prime is 200221120021147. The reversal of 200221120021120 is 21120021122002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (200221120021093) and next prime (200221120021147).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 200221120021094 and 200221120021103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19805466 + ... + 28154905.

Almost surely, 2200221120021120 is an apocalyptic number.

200221120021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200221120021120 is an abundant number, since it is smaller than the sum of its proper divisors (322827023351360).

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

200221120021120 is a wasteful number, since it uses less digits than its factorization.

200221120021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47960994 (or 47960982 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200221120021120 its reverse (21120021122002), we get a palindrome (221341141143122).

The spelling of 200221120021120 in words is "two hundred trillion, two hundred twenty-one billion, one hundred twenty million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 593 640 704 880 1186 1408 1760 2372 2965 3520 4744 5930 6523 7040 9488 11860 13046 18976 23720 26092 32615 37952 47440 52184 65230 75904 94880 104368 130460 189760 208736 260920 379520 417472 521840 834944 1043680 2087360 4174720 47960371 95920742 191841484 239801855 383682968 479603710 527564081 767365936 959207420 1055128162 1534731872 1918414840 2110256324 2637820405 3069463744 3836829680 4220512648 5275640810 6138927488 7673659360 8441025296 10551281620 15347318720 16882050592 21102563240 28440500003 30694637440 33764101184 42205126480 56881000006 67528202368 84410252960 113762000012 142202500015 168820505920 227524000024 284405000030 312845500033 337641011840 455048000048 568810000060 625691000066 910096000096 1137620000120 1251382000132 1564227500165 1820192000192 2275240000240 2502764000264 3128455000330 3640384000384 4550480000480 5005528000528 6256910000660 9100960000960 10011056001056 12513820001320 18201920001920 20022112002112 25027640002640 40044224004224 50055280005280 100110560010560 200221120021120