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12002201010030 = 23571143112055123
BaseRepresentation
bin1010111010100111101011…
…1011010111111101101110
31120111101210000122222221110
42232221322323113331232
53033121001424310110
641305422433212450
72346062505206250
oct256517273277556
946441700588843
1012002201010030
113908117634260
12141a134a01126
13690a586b5b9a
142d6ca403dcd0
1515c31128ba20
hexaea7aed7f6e

12002201010030 has 128 divisors (see below), whose sum is σ = 35996407382016. Its totient is φ = 2488177180800.

The previous prime is 12002201010013. The next prime is 12002201010061. The reversal of 12002201010030 is 3001010220021.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12002201009988 and 12002201010015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5031952 + ... + 7023171.

It is an arithmetic number, because the mean of its divisors is an integer number (281221932672).

Almost surely, 212002201010030 is an apocalyptic number.

12002201010030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002201010030 is an abundant number, since it is smaller than the sum of its proper divisors (23994206371986).

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

12002201010030 is a wasteful number, since it uses less digits than its factorization.

12002201010030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12055582.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12002201010030 its reverse (3001010220021), we get a palindrome (15003211230051).

The spelling of 12002201010030 in words is "twelve trillion, two billion, two hundred one million, ten thousand, thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 431 462 770 862 1155 1293 2155 2310 2586 3017 4310 4741 6034 6465 9051 9482 12930 14223 15085 18102 23705 28446 30170 33187 45255 47410 66374 71115 90510 99561 142230 165935 199122 331870 497805 995610 12055123 24110246 36165369 60275615 72330738 84385861 120551230 132606353 168771722 180826845 253157583 265212706 361653690 397819059 421929305 506315166 663031765 795638118 843858610 928244471 1265787915 1326063530 1856488942 1989095295 2531575830 2784733413 3978190590 4641222355 5195758013 5569466826 9282444710 10391516026 13923667065 15587274039 25978790065 27847334130 31174548078 36370306091 51957580130 57153338143 72740612182 77936370195 109110918273 114306676286 155872740390 171460014429 181851530455 218221836546 285766690715 342920028858 363703060910 400073367001 545554591365 571533381430 800146734002 857300072145 1091109182730 1200220101003 1714600144290 2000366835005 2400440202006 4000733670010 6001100505015 12002201010030