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12003442112420 = 22511192999021961
BaseRepresentation
bin1010111010101100010011…
…1001110011011110100100
31120111111222112000112100122
42232223010321303132210
53033131022140044140
641310145530301112
72346135325333463
oct256530471633644
946444875015318
1012003442112420
1139086a4163910
12141a420587798
13690bc586b8b5
142d6d80bcc9da
1515c3851e5ab5
hexaeac4e737a4

12003442112420 has 96 divisors (see below), whose sum is σ = 29944241308800. Its totient is φ = 3992565427200.

The previous prime is 12003442112413. The next prime is 12003442112429. The reversal of 12003442112420 is 2421124430021.

It is a self number, because there is not a number n which added to its sum of digits gives 12003442112420.

It is not an unprimeable number, because it can be changed into a prime (12003442112429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49389761 + ... + 49632200.

It is an arithmetic number, because the mean of its divisors is an integer number (311919180300).

Almost surely, 212003442112420 is an apocalyptic number.

12003442112420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12003442112420 is an abundant number, since it is smaller than the sum of its proper divisors (17940799196380).

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

12003442112420 is a wasteful number, since it uses less digits than its factorization.

12003442112420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99022029 (or 99022027 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 12003442112420 its reverse (2421124430021), we get a palindrome (14424566542441).

The spelling of 12003442112420 in words is "twelve trillion, three billion, four hundred forty-two million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 29 38 44 55 58 76 95 110 116 145 190 209 220 290 319 380 418 551 580 638 836 1045 1102 1276 1595 2090 2204 2755 3190 4180 5510 6061 6380 11020 12122 24244 30305 60610 121220 99021961 198043922 396087844 495109805 990219610 1089241571 1881417259 1980439220 2178483142 2871636869 3762834518 4356966284 5446207855 5743273738 7525669036 9407086295 10892415710 11486547476 14358184345 18814172590 20695589849 21784831420 28716368690 31588005559 37628345180 41391179698 54561100511 57432737380 63176011118 82782359396 103477949245 109122201022 126352022236 157940027795 206955898490 218244402044 272805502555 315880055590 413911796980 545611005110 600172105621 631760111180 1091222010220 1200344211242 2400688422484 3000860528105 6001721056210 12003442112420