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12320013012320 = 255132455621783
BaseRepresentation
bin1011001101000111100111…
…1111111100110101100000
31121121210002220000111100002
42303101321333330311200
53103322341312343240
642111422535315132
72411043256515506
oct263217177746540
947553086014302
1012320013012320
113a1a985188502
12146b84b51baa8
136b4a06800b00
14308412a32676
1516571256ad15
hexb3479ffcd60

12320013012320 has 72 divisors (see below), whose sum is σ = 31517181286416. Its totient is φ = 4548927871488.

The previous prime is 12320013012313. The next prime is 12320013012353. The reversal of 12320013012320 is 2321031002321.

It is a super-6 number, since 6×123200130123206 (a number of 80 digits) contains 666666 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12320013012292 and 12320013012301.

It is a congruent number.

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, 227783852 + ... + 227837931.

It is an arithmetic number, because the mean of its divisors is an integer number (437738628978).

Almost surely, 212320013012320 is an apocalyptic number.

12320013012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320013012320 is an abundant number, since it is smaller than the sum of its proper divisors (19197168274096).

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

12320013012320 is a wasteful number, since it uses less digits than its factorization.

12320013012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455621824 (or 455621803 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12320013012320 its reverse (2321031002321), we get a palindrome (14641044014641).

The spelling of 12320013012320 in words is "twelve trillion, three hundred twenty billion, thirteen million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 260 338 416 520 676 845 1040 1352 1690 2080 2704 3380 5408 6760 13520 27040 455621783 911243566 1822487132 2278108915 3644974264 4556217830 5923083179 7289948528 9112435660 11846166358 14579897056 18224871320 23692332716 29615415895 36449742640 47384665432 59230831790 72899485280 77000081327 94769330864 118461663580 154000162654 189538661728 236923327160 308000325308 385000406635 473846654320 616000650616 770000813270 947693308640 1232001301232 1540001626540 2464002602464 3080003253080 6160006506160 12320013012320