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12900834409120 = 255722866957397
BaseRepresentation
bin1011101110111011010110…
…1001101111101010100000
31200200022022022221120011021
42323232311221233222200
53142331402102042440
643234321141455224
72501024463110500
oct273566551575240
950608268846137
1012900834409120
114124238777609
121544327411514
1372770acb86a8
14328591b29a00
151758a881e84a
hexbbbb5a6faa0

12900834409120 has 144 divisors (see below), whose sum is σ = 35456111820360. Its totient is φ = 4422911883264.

The previous prime is 12900834409093. The next prime is 12900834409181. The reversal of 12900834409120 is 2190443800921.

It can be written as a sum of positive squares in 4 ways, for example, as 8949024386064 + 3951810023056 = 2991492^2 + 1987916^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224736262 + ... + 224793658.

Almost surely, 212900834409120 is an apocalyptic number.

12900834409120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12900834409120 is an abundant number, since it is smaller than the sum of its proper divisors (22555277411240).

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

12900834409120 is a wasteful number, since it uses less digits than its factorization.

12900834409120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86095 (or 86080 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 12900834409120 in words is "twelve trillion, nine hundred billion, eight hundred thirty-four million, four hundred nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 28669 57338 57397 114676 114794 143345 200683 229352 229588 286690 286985 401366 401779 458704 459176 573380 573970 802732 803558 917408 918352 1003415 1146760 1147940 1404781 1605464 1607116 1836704 2006830 2008895 2293520 2295880 2809562 2812453 3210928 3214232 4013660 4017790 4587040 4591760 5619124 5624906 6421856 6428464 7023905 8027320 8035580 9183520 11238248 11249812 12856928 14047810 14062265 16054640 16071160 22476496 22499624 28095620 28124530 32109280 32142320 44952992 44999248 56191240 56249060 64284640 89998496 112382480 112498120 224764960 224996240 449992480 1645514593 3291029186 6582058372 8227572965 11518602151 13164116744 16455145930 23037204302 26328233488 32910291860 46074408604 52656466976 57593010755 65820583720 80630215057 92148817208 115186021510 131641167440 161260430114 184297634416 230372043020 263282334880 322520860228 368595268832 403151075285 460744086040 645041720456 806302150570 921488172080 1290083440912 1612604301140 1842976344160 2580166881824 3225208602280 6450417204560 12900834409120