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12330231231340 = 225111011374050481
BaseRepresentation
bin1011001101101101101100…
…0011010111001101101100
31121122202111000101210200101
42303123123003113031230
53104004303143400330
642120232515240444
72411554424115511
oct263333303271554
947582430353611
1012330231231340
113a24249099710
1214718215a9124
136b5974784159
14308b01b5b308
15165b0e6814ca
hexb36db0d736c

12330231231340 has 96 divisors (see below), whose sum is σ = 28735350654528. Its totient is φ = 4406922240000.

The previous prime is 12330231231281. The next prime is 12330231231389. The reversal of 12330231231340 is 4313213203321.

It is a junction number, because it is equal to n+sod(n) for n = 12330231231299 and 12330231231308.

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, 1018900 + ... + 5069380.

It is an arithmetic number, because the mean of its divisors is an integer number (299326569318).

Almost surely, 212330231231340 is an apocalyptic number.

12330231231340 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 12330231231340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14367675327264).

12330231231340 is an abundant number, since it is smaller than the sum of its proper divisors (16405119423188).

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

12330231231340 is a wasteful number, since it uses less digits than its factorization.

12330231231340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050739 (or 4050737 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 12330231231340 its reverse (4313213203321), we get a palindrome (16643444434661).

The spelling of 12330231231340 in words is "twelve trillion, three hundred thirty billion, two hundred thirty-one million, two hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 137 202 220 274 404 505 548 685 1010 1111 1370 1507 2020 2222 2740 3014 4444 5555 6028 7535 11110 13837 15070 22220 27674 30140 55348 69185 138370 152207 276740 304414 608828 761035 1522070 3044140 4050481 8100962 16201924 20252405 40504810 44555291 81009620 89110582 178221164 222776455 409098581 445552910 554915897 818197162 891105820 1109831794 1636394324 2045492905 2219663588 2774579485 4090985810 4500084391 5549158970 6104074867 8181971620 9000168782 11098317940 12208149734 18000337564 22500421955 24416299468 30520374335 45000843910 56046505597 61040748670 90001687820 112093011194 122081497340 224186022388 280232527985 560465055970 616511561567 1120930111940 1233023123134 2466046246268 3082557807835 6165115615670 12330231231340