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12080148480 = 21232565539
BaseRepresentation
bin10110100000000100…
…00111000000000000
31011011212221010101200
423100002013000000
5144220004222410
65314411301200
7605233365531
oct132002070000
934155833350
1012080148480
115139a24394
12241174a800
1311a694766a
14828522688
154aa8033c0
hex2d0087000

12080148480 has 156 divisors (see below), whose sum is σ = 41873374920. Its totient is φ = 3221323776.

The previous prime is 12080148469. The next prime is 12080148503. The reversal of 12080148480 is 8484108021.

It is a happy number.

12080148480 is a `hidden beast` number, since 1 + 20 + 80 + 1 + 484 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151551 + ... + 217089.

It is an arithmetic number, because the mean of its divisors is an integer number (268419070).

Almost surely, 212080148480 is an apocalyptic number.

12080148480 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 12080148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20936687460).

12080148480 is an abundant number, since it is smaller than the sum of its proper divisors (29793226440).

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

12080148480 is an equidigital number, since it uses as much as digits as its factorization.

12080148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65574 (or 65549 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 12080148480 in words is "twelve billion, eighty million, one hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4096 4608 5120 5760 6144 7680 9216 10240 11520 12288 15360 18432 20480 23040 30720 36864 46080 61440 65539 92160 131078 184320 196617 262156 327695 393234 524312 589851 655390 786468 983085 1048624 1179702 1310780 1572936 1966170 2097248 2359404 2621560 2949255 3145872 3932340 4194496 4718808 5243120 5898510 6291744 7864680 8388992 9437616 10486240 11797020 12583488 15729360 16777984 18875232 20972480 23594040 25166976 31458720 33555968 37750464 41944960 47188080 50333952 62917440 67111936 75500928 83889920 94376160 100667904 125834880 134223872 151001856 167779840 188752320 201335808 251669760 268447744 302003712 335559680 377504640 402671616 503339520 604007424 671119360 755009280 805343232 1006679040 1208014848 1342238720 1510018560 2013358080 2416029696 3020037120 4026716160 6040074240 12080148480