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12130463808000 = 29325321059833
BaseRepresentation
bin1011000010000101011111…
…1111000111101000000000
31120221122211212202020101100
42300201113333013220000
53042221142213324000
641444354054134400
72361253126045536
oct260412777075000
946848755666340
1012130463808000
11395755664082a
12143ab6b951400
1369cb896b7005
142dd1908dc156
1516081b84da00
hexb0857fc7a00

12130463808000 has 240 divisors, whose sum is σ = 43691658249096. Its totient is φ = 3234790195200.

The previous prime is 12130463807977. The next prime is 12130463808031. The reversal of 12130463808000 is 80836403121.

12130463808000 is a `hidden beast` number, since 1 + 2 + 13 + 0 + 4 + 638 + 0 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1545904302336 + 10584559505664 = 1243344^2 + 3253392^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 9953917 + ... + 11105916.

Almost surely, 212130463808000 is an apocalyptic number.

12130463808000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12130463808000 is an abundant number, since it is smaller than the sum of its proper divisors (31561194441096).

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

12130463808000 is an equidigital number, since it uses as much as digits as its factorization.

12130463808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21059872 (or 21059843 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12130463808000 in words is "twelve trillion, one hundred thirty billion, four hundred sixty-three million, eight hundred eight thousand".