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12381720480 = 253352866139
BaseRepresentation
bin10111000100000001…
…00000111110100000
31011221220101120102000
423202000200332200
5200324210023410
65404343124000
7615554613303
oct134200407640
934856346360
1012381720480
115284181948
122496743600
131224275b2c
148565c4b3a
154c7022dc0
hex2e2020fa0

12381720480 has 96 divisors (see below), whose sum is σ = 43336036800. Its totient is φ = 3301790976.

The previous prime is 12381720473. The next prime is 12381720493. The reversal of 12381720480 is 8402718321.

12381720480 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 172 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 1428750 + ... + 1437389.

It is an arithmetic number, because the mean of its divisors is an integer number (451417050).

Almost surely, 212381720480 is an apocalyptic number.

12381720480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12381720480 is an abundant number, since it is smaller than the sum of its proper divisors (30954316320).

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

12381720480 is a wasteful number, since it uses less digits than its factorization.

12381720480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866163 (or 2866149 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 12381720480 in words is "twelve billion, three hundred eighty-one million, seven hundred twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 2866139 5732278 8598417 11464556 14330695 17196834 22929112 25795251 28661390 34393668 42992085 45858224 51590502 57322780 68787336 77385753 85984170 91716448 103181004 114645560 128976255 137574672 154771506 171968340 206362008 229291120 257952510 275149344 309543012 343936680 386928765 412724016 458582240 515905020 619086024 687873360 773857530 825448032 1031810040 1238172048 1375746720 1547715060 2063620080 2476344096 3095430120 4127240160 6190860240 12381720480