Search a number
-
+
12022202120020 = 22519997116991831
BaseRepresentation
bin1010111011110010001100…
…0101100011011101010100
31120120022101221021122210221
42232330203011203131110
53033432432220320040
641322531242324124
72350401242635261
oct256744305433524
946508357248727
1012022202120020
113915650751224
121421b971b9644
136928c538bb01
142d7c40534268
1515cad217674a
hexaef23163754

12022202120020 has 96 divisors (see below), whose sum is σ = 25428453120000. Its totient is φ = 4774365763200.

The previous prime is 12022202119969. The next prime is 12022202120053. The reversal of 12022202120020 is 2002120222021.

It is a super-4 number, since 4×120222021200204 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12022202119976 and 12022202120003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6565920505 + ... + 6565922335.

It is an arithmetic number, because the mean of its divisors is an integer number (264879720000).

Almost surely, 212022202120020 is an apocalyptic number.

12022202120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022202120020 is an abundant number, since it is smaller than the sum of its proper divisors (13406250999980).

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

12022202120020 is a wasteful number, since it uses less digits than its factorization.

12022202120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709 (or 4707 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12022202120020 its reverse (2002120222021), we get a palindrome (14024322342041).

The spelling of 12022202120020 in words is "twelve trillion, twenty-two billion, two hundred two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 199 398 796 971 995 1699 1831 1942 1990 3398 3662 3884 3980 4855 6796 7324 8495 9155 9710 16990 18310 19420 33980 36620 193229 338101 364369 386458 676202 728738 772916 966145 1352404 1457476 1649729 1690505 1777901 1821845 1932290 3110869 3299458 3381010 3555802 3643690 3864580 6221738 6598916 6762020 7111604 7287380 8248645 8889505 12443476 15554345 16497290 17779010 31108690 32994580 35558020 62217380 328296071 353802299 619062931 656592142 707604598 1238125862 1313184284 1415209196 1641480355 1769011495 2476251724 3020653799 3095314655 3282960710 3538022990 6041307598 6190629310 6565921420 7076045980 12082615196 12381258620 15103268995 30206537990 60413075980 601110106001 1202220212002 2404440424004 3005550530005 6011101060010 12022202120020