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12232002201330 = 2353733170946957
BaseRepresentation
bin1011000111111111110000…
…1001010110011011110010
31121022100221021011001112210
42301333330021112123302
53100402120030420310
642003145414232550
72401506263126022
oct261777411263362
947270837131483
1012232002201330
11399662139a57a
121456788955756
136a961bb3c162
14304063db7a82
151632b0b68820
hexb1ffc2566f2

12232002201330 has 128 divisors (see below), whose sum is σ = 30284619183360. Its totient is φ = 3159590353920.

The previous prime is 12232002201329. The next prime is 12232002201347. The reversal of 12232002201330 is 3310220023221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12232002201297 and 12232002201306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 260470212 + ... + 260517168.

It is an arithmetic number, because the mean of its divisors is an integer number (236598587370).

Almost surely, 212232002201330 is an apocalyptic number.

12232002201330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12232002201330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15142309591680).

12232002201330 is an abundant number, since it is smaller than the sum of its proper divisors (18052616982030).

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

12232002201330 is a wasteful number, since it uses less digits than its factorization.

12232002201330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48044.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12232002201330 its reverse (3310220023221), we get a palindrome (15542222224551).

The spelling of 12232002201330 in words is "twelve trillion, two hundred thirty-two billion, two million, two hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 331 370 555 662 709 993 1110 1418 1655 1986 2127 3310 3545 4254 4965 7090 9930 10635 12247 21270 24494 26233 36741 46957 52466 61235 73482 78699 93914 122470 131165 140871 157398 183705 234679 234785 262330 281742 367410 393495 469358 469570 704037 704355 786990 1173395 1408074 1408710 1737409 2346790 3474818 3520185 5212227 7040370 8683123 8687045 10424454 15542767 17366246 17374090 26049369 26061135 31085534 33292513 43415615 46628301 52098738 52122270 66585026 77713835 86831230 93256602 99877539 130246845 155427670 166462565 199755078 233141505 260493690 332925130 466283010 499387695 575082379 998775390 1150164758 1231822981 1725247137 2463645962 2875411895 3450494274 3695468943 5750823790 6159114905 7390937886 8626235685 11019821803 12318229810 17252471370 18477344715 22039643606 33059465409 36954689430 55099109015 66118930818 110198218030 165297327045 330594654090 407733406711 815466813422 1223200220133 2038667033555 2446400440266 4077334067110 6116001100665 12232002201330