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12002012012320 = 255112619938637
BaseRepresentation
bin1010111010100110111110…
…1010011001111100100000
31120111101021212000220211021
42232221233222121330200
53033120110033343240
641305352002255224
72346055021564441
oct256515752317440
946441255026737
1012002012012320
11390802a986500
12141a0a1657514
13690a284b1715
142d6c86cc32c8
1515c2ee8a754a
hexaea6fa99f20

12002012012320 has 72 divisors (see below), whose sum is σ = 31166795086812. Its totient is φ = 4364367997440.

The previous prime is 12002012012299. The next prime is 12002012012371. The reversal of 12002012012320 is 2321021020021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11988241459216 + 13770553104 = 3462404^2 + 117348^2 .

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 = 12002012012294 and 12002012012303.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309949959 + ... + 309988678.

Almost surely, 212002012012320 is an apocalyptic number.

12002012012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002012012320 is an abundant number, since it is smaller than the sum of its proper divisors (19164783074492).

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

12002012012320 is a wasteful number, since it uses less digits than its factorization.

12002012012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619938674 (or 619938655 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12002012012320 its reverse (2321021020021), we get a palindrome (14323033032341).

The spelling of 12002012012320 in words is "twelve trillion, two billion, twelve million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 9680 19360 619938637 1239877274 2479754548 3099693185 4959509096 6199386370 6819325007 9919018192 12398772740 13638650014 19838036384 24797545480 27277300028 34096625035 49595090960 54554600056 68193250070 75012575077 99190181920 109109200112 136386500140 150025150154 218218400224 272773000280 300050300308 375062875385 545546000560 600100600616 750125750770 1091092001120 1200201201232 1500251501540 2400402402464 3000503003080 6001006006160 12002012012320