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12048808088880 = 243356191445113
BaseRepresentation
bin1010111101010101010011…
…1011010001010100110000
31120122212002011002220202000
42233111110323101110300
53034401424332321010
641343051312454000
72352332460636513
oct257252473212460
946585064086660
1012048808088880
113925964066442
12142718154a300
1369527553ab54
142d9245cc6d7a
1515d63cd267c0
hexaf554ed1530

12048808088880 has 160 divisors (see below), whose sum is σ = 42181802185920. Its totient is φ = 3160343070720.

The previous prime is 12048808088839. The next prime is 12048808088887. The reversal of 12048808088880 is 8888080884021.

It is a happy number.

12048808088880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12048808088887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45590797 + ... + 45854316.

It is an arithmetic number, because the mean of its divisors is an integer number (263636263662).

Almost surely, 212048808088880 is an apocalyptic number.

12048808088880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12048808088880 is an abundant number, since it is smaller than the sum of its proper divisors (30132994097040).

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

12048808088880 is a wasteful number, since it uses less digits than its factorization.

12048808088880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91445196 (or 91445184 counting only the distinct ones).

The product of its (nonzero) digits is 16777216, while the sum is 63.

The spelling of 12048808088880 in words is "twelve trillion, forty-eight billion, eight hundred eight million, eighty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 61 72 80 90 108 120 122 135 144 180 183 216 240 244 270 305 360 366 432 488 540 549 610 720 732 915 976 1080 1098 1220 1464 1647 1830 2160 2196 2440 2745 2928 3294 3660 4392 4880 5490 6588 7320 8235 8784 10980 13176 14640 16470 21960 26352 32940 43920 65880 131760 91445113 182890226 274335339 365780452 457225565 548670678 731560904 823006017 914451130 1097341356 1371676695 1463121808 1646012034 1828902260 2194682712 2469018051 2743353390 3292024068 3657804520 4115030085 4389365424 4938036102 5486706780 5578151893 6584048136 7315609040 8230060170 9876072204 10973413560 11156303786 12345090255 13168096272 16460120340 16734455679 19752144408 21946827120 22312607572 24690180510 27890759465 32920240680 33468911358 39504288816 44625215144 49380361020 50203367037 55781518930 65840481360 66937822716 83672278395 89250430288 98760722040 100406734074 111563037860 133875645432 150610101111 167344556790 197521444080 200813468148 223126075720 251016835185 267751290864 301220202222 334689113580 401626936296 446252151440 502033670370 602440404444 669378227160 753050505555 803253872592 1004067340740 1204880808888 1338756454320 1506101011110 2008134681480 2409761617776 3012202022220 4016269362960 6024404044440 12048808088880