Search a number
-
+
12003340330320 = 2435175355509343
BaseRepresentation
bin1010111010101011111011…
…0101100010010101010000
31120111111201102111110120020
42232222332311202111100
53033130320111032240
641310131452543440
72346132651236613
oct256527665422520
946444642443506
1012003340330320
113908651765479
12141a3b2481b80
13690baa752bc1
142d6d7149617a
1515c37b2dd0d0
hexaeabed62550

12003340330320 has 160 divisors (see below), whose sum is σ = 40142581281792. Its totient is φ = 2955761442816.

The previous prime is 12003340330243. The next prime is 12003340330327. The reversal of 12003340330320 is 2303304330021.

It is a happy number.

It is a super-2 number, since 2×120033403303202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003340330327) by changing a digit.

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, 27538432 + ... + 27970911.

Almost surely, 212003340330320 is an apocalyptic number.

12003340330320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12003340330320 is an abundant number, since it is smaller than the sum of its proper divisors (28139240951472).

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

12003340330320 is a wasteful number, since it uses less digits than its factorization.

12003340330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55509429 (or 55509423 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 12003340330320 its reverse (2303304330021), we get a palindrome (14306644660341).

The spelling of 12003340330320 in words is "twelve trillion, three billion, three hundred forty million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 53 60 68 80 85 102 106 120 136 159 170 204 212 240 255 265 272 318 340 408 424 510 530 636 680 795 816 848 901 1020 1060 1272 1360 1590 1802 2040 2120 2544 2703 3180 3604 4080 4240 4505 5406 6360 7208 9010 10812 12720 13515 14416 18020 21624 27030 36040 43248 54060 72080 108120 216240 55509343 111018686 166528029 222037372 277546715 333056058 444074744 555093430 666112116 832640145 888149488 943658831 1110186860 1332224232 1665280290 1887317662 2220373720 2664448464 2830976493 2941995179 3330560580 3774635324 4440747440 4718294155 5661952986 5883990358 6661121160 7549270648 8825985537 9436588310 11323905972 11767980716 13322242320 14154882465 14709975895 15098541296 17651971074 18873176620 22647811944 23535961432 28309764930 29419951790 35303942148 37746353240 44129927685 45295623888 47071922864 50013918043 56619529860 58839903580 70607884296 75492706480 88259855370 100027836086 113239059720 117679807160 141215768592 150041754129 176519710740 200055672172 226478119440 235359614320 250069590215 300083508258 353039421480 400111344344 500139180430 600167016516 706078842960 750208770645 800222688688 1000278360860 1200334033032 1500417541290 2000556721720 2400668066064 3000835082580 4001113443440 6001670165160 12003340330320