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12327974870080 = 265197479408263
BaseRepresentation
bin1011001101100101010010…
…0100000001110001000000
31121122112122202122202220211
42303121110210001301000
53103440143031320310
642115220553443504
72411444465266012
oct263312444016100
947575582582824
1012327974870080
113a232a0474041
1214712b1a10594
136b56a517ab4c
1430896a20c1b2
15165a2b52ec8a
hexb3654901c40

12327974870080 has 112 divisors (see below), whose sum is σ = 29566674846720. Its totient is φ = 4895904032768.

The previous prime is 12327974870077. The next prime is 12327974870087. The reversal of 12327974870080 is 8007847972321.

It is a junction number, because it is equal to n+sod(n) for n = 12327974869997 and 12327974870024.

It is not an unprimeable number, because it can be changed into a prime (12327974870087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29992029 + ... + 30400291.

Almost surely, 212327974870080 is an apocalyptic number.

12327974870080 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 12327974870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14783337423360).

12327974870080 is an abundant number, since it is smaller than the sum of its proper divisors (17238699976640).

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

12327974870080 is a wasteful number, since it uses less digits than its factorization.

12327974870080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408956 (or 408946 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 58.

The spelling of 12327974870080 in words is "twelve trillion, three hundred twenty-seven billion, nine hundred seventy-four million, eight hundred seventy thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 197 320 394 479 788 958 985 1576 1916 1970 2395 3152 3832 3940 4790 6304 7664 7880 9580 12608 15328 15760 19160 30656 31520 38320 63040 76640 94363 153280 188726 377452 408263 471815 754904 816526 943630 1509808 1633052 1887260 2041315 3019616 3266104 3774520 4082630 6039232 6532208 7549040 8165260 13064416 15098080 16330520 26128832 30196160 32661040 65322080 80427811 130644160 160855622 195557977 321711244 391115954 402139055 643422488 782231908 804278110 977789885 1286844976 1564463816 1608556220 1955579770 2573689952 3128927632 3217112440 3911159540 5147379904 6257855264 6434224880 7822319080 12515710528 12868449760 15644638160 25736899520 31289276320 38524921469 62578552640 77049842938 154099685876 192624607345 308199371752 385249214690 616398743504 770498429380 1232797487008 1540996858760 2465594974016 3081993717520 6163987435040 12327974870080