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12013121312320 = 265432767315521
BaseRepresentation
bin1010111011010000010111…
…0101000001011001000000
31120112102222002010211110211
42232310011311001121000
53033310333023443240
641314430213203504
72346630226225252
oct256640565013100
946472862124424
1012013121312320
113911810887a77
121420282030594
13691aa8c5790b
142d761c4c5cd2
1515c74ed36bea
hexaed05d41640

12013121312320 has 112 divisors (see below), whose sum is σ = 29282178233088. Its totient is φ = 4691787448320.

The previous prime is 12013121312303. The next prime is 12013121312351. The reversal of 12013121312320 is 2321312131021.

It is a junction number, because it is equal to n+sod(n) for n = 12013121312291 and 12013121312300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37916160 + ... + 38231680.

Almost surely, 212013121312320 is an apocalyptic number.

12013121312320 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 12013121312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14641089116544).

12013121312320 is an abundant number, since it is smaller than the sum of its proper divisors (17269056920768).

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

12013121312320 is a wasteful number, since it uses less digits than its factorization.

12013121312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318348 (or 318338 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12013121312320 its reverse (2321312131021), we get a palindrome (14334433443341).

The spelling of 12013121312320 in words is "twelve trillion, thirteen billion, one hundred twenty-one million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 860 1376 1720 2752 2767 3440 5534 6880 11068 13760 13835 22136 27670 44272 55340 88544 110680 118981 177088 221360 237962 315521 442720 475924 594905 631042 885440 951848 1189810 1262084 1577605 1903696 2379620 2524168 3155210 3807392 4759240 5048336 6310420 7614784 9518480 10096672 12620840 13567403 19036960 20193344 25241680 27134806 38073920 50483360 54269612 67837015 100966720 108539224 135674030 217078448 271348060 434156896 542696120 868313792 873046607 1085392240 1746093214 2170784480 3492186428 4341568960 4365233035 6984372856 8730466070 13968745712 17460932140 27937491424 34921864280 37541004101 55874982848 69843728560 75082008202 139687457120 150164016404 187705020505 279374914240 300328032808 375410041010 600656065616 750820082020 1201312131232 1501640164040 2402624262464 3003280328080 6006560656160 12013121312320