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12303020121330 = 235672731251463
BaseRepresentation
bin1011001100001000010100…
…1001001101110011110010
31121120011020121220012011010
42303002011021031303302
53103033041122340310
642055532430531350
72406602210363331
oct263020511156362
947504217805133
1012303020121330
113a13755134a44
1214684a8666b56
136b3229129423
1430767dc83d18
1516506a7ea320
hexb308524dcf2

12303020121330 has 96 divisors (see below), whose sum is σ = 30385165474944. Its totient is φ = 3187563819264.

The previous prime is 12303020121317. The next prime is 12303020121349. The reversal of 12303020121330 is 3312102030321.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12303020121297 and 12303020121306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9205179 + ... + 10456641.

It is an arithmetic number, because the mean of its divisors is an integer number (316512140364).

Almost surely, 212303020121330 is an apocalyptic number.

12303020121330 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 12303020121330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15192582737472).

12303020121330 is an abundant number, since it is smaller than the sum of its proper divisors (18082145353614).

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

12303020121330 is a wasteful number, since it uses less digits than its factorization.

12303020121330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251680 (or 1251613 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12303020121330 its reverse (3312102030321), we get a palindrome (15615122151651).

The spelling of 12303020121330 in words is "twelve trillion, three hundred three billion, twenty million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 73 134 146 201 219 335 365 402 438 670 730 1005 1095 2010 2190 4489 4891 8978 9782 13467 14673 22445 24455 26934 29346 44890 48910 67335 73365 134670 146730 327697 655394 983091 1251463 1638485 1966182 2502926 3276970 3754389 4915455 6257315 7508778 9830910 12514630 18771945 37543890 83848021 91356799 167696042 182713598 251544063 274070397 419240105 456783995 503088126 548140794 838480210 913567990 1257720315 1370351985 2515440630 2740703970 5617817407 6120905533 11235634814 12241811066 16853452221 18362716599 28089087035 30604527665 33706904442 36725433198 56178174070 61209055330 84267261105 91813582995 168534522210 183627165990 410100670711 820201341422 1230302012133 2050503353555 2460604024266 4101006707110 6151510060665 12303020121330