Search a number
-
+
12002020201220 = 225734314059317
BaseRepresentation
bin1010111010100111000000…
…1001101001001100000100
31120111101022102102221212212
42232221300021221030010
53033120114132414340
641305352454002552
72346055151312000
oct256516011511404
946441272387785
1012002020201220
113908034569995
12141a0a4346458
13690a2a0bab1a
142d6c88015700
1515c300473a65
hexaea70269304

12002020201220 has 96 divisors (see below), whose sum is σ = 29460906316800. Its totient is φ = 4105429829760.

The previous prime is 12002020201181. The next prime is 12002020201243. The reversal of 12002020201220 is 2210202020021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12002020201195 and 12002020201204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 927002 + ... + 4986318.

It is an arithmetic number, because the mean of its divisors is an integer number (306884440800).

Almost surely, 212002020201220 is an apocalyptic number.

12002020201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002020201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14730453158400).

12002020201220 is an abundant number, since it is smaller than the sum of its proper divisors (17458886115580).

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

12002020201220 is a wasteful number, since it uses less digits than its factorization.

12002020201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4059778 (or 4059762 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12002020201220 its reverse (2210202020021), we get a palindrome (14212222221241).

The spelling of 12002020201220 in words is "twelve trillion, two billion, twenty million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 431 490 686 862 980 1372 1715 1724 2155 3017 3430 4310 6034 6860 8620 12068 15085 21119 30170 42238 60340 84476 105595 147833 211190 295666 422380 591332 739165 1478330 2956660 4059317 8118634 16237268 20296585 28415219 40593170 56830438 81186340 113660876 142076095 198906533 284152190 397813066 568304380 795626132 994532665 1392345731 1749565627 1989065330 2784691462 3499131254 3978130660 5569382924 6961728655 6998262508 8747828135 12246959389 13923457310 17495656270 24493918778 27846914620 34991312540 48987837556 61234796945 85728715723 122469593890 171457431446 244939187780 342914862892 428643578615 600101010061 857287157230 1200202020122 1714574314460 2400404040244 3000505050305 6001010100610 12002020201220