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13212130020120 = 23325262114002427
BaseRepresentation
bin1100000001000011000001…
…0100010000101100011000
31201210001211001120002012100
43000100300110100230120
53212431420241120440
644033322503043400
72532354620125503
oct300206024205430
951701731502170
1013212130020120
114234261a58609
121594723740560
1374ab8b063a95
143396830cc13a
1517da279b1230
hexc0430510b18

13212130020120 has 96 divisors (see below), whose sum is σ = 42955808472720. Its totient is φ = 3521890187520.

The previous prime is 13212130020119. The next prime is 13212130020149. The reversal of 13212130020120 is 2102003121231.

13212130020120 is a `hidden beast` number, since 1 + 321 + 2 + 1 + 300 + 20 + 1 + 20 = 666.

It is a super-2 number, since 2×132121300201202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13212130020093 and 13212130020102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6057654 + ... + 7944773.

Almost surely, 213212130020120 is an apocalyptic number.

13212130020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13212130020120 is an abundant number, since it is smaller than the sum of its proper divisors (29743678452600).

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

13212130020120 is a wasteful number, since it uses less digits than its factorization.

13212130020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14005065 (or 14005058 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13212130020120 its reverse (2102003121231), we get a palindrome (15314133141351).

The spelling of 13212130020120 in words is "thirteen trillion, two hundred twelve billion, one hundred thirty million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2621 5242 7863 10484 13105 15726 20968 23589 26210 31452 39315 47178 52420 62904 78630 94356 104840 117945 157260 188712 235890 314520 471780 943560 14002427 28004854 42007281 56009708 70012135 84014562 112019416 126021843 140024270 168029124 210036405 252043686 280048540 336058248 420072810 504087372 560097080 630109215 840145620 1008174744 1260218430 1680291240 2520436860 5040873720 36700361167 73400722334 110101083501 146801444668 183501805835 220202167002 293602889336 330303250503 367003611670 440404334004 550505417505 660606501006 734007223340 880808668008 1101010835010 1321213002012 1468014446680 1651516252515 2202021670020 2642426004024 3303032505030 4404043340040 6606065010060 13212130020120