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12730565491200 = 2938521737241
BaseRepresentation
bin1011100101000001000011…
…0101010111101000000000
31200002000210222221100000000
42321100100311113220000
53132034144231204300
643024201400000000
72452516165146204
oct271202065275000
950060728840000
1012730565491200
114069003375427
121517328760000
1371464442719b
1432023c490b04
151712405a4c00
hexb9410d57a00

12730565491200 has 2160 divisors, whose sum is σ = 51659241715224. Its totient is φ = 3095868211200.

The previous prime is 12730565491169. The next prime is 12730565491201. The reversal of 12730565491200 is 219456503721.

12730565491200 is a `hidden beast` number, since 1 + 2 + 7 + 30 + 56 + 549 + 1 + 20 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6018818275584 + 6711747215616 = 2453328^2 + 2590704^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12730565491201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 52823923080 + ... + 52823923320.

Almost surely, 212730565491200 is an apocalyptic number.

12730565491200 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 12730565491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25829620857612).

12730565491200 is an abundant number, since it is smaller than the sum of its proper divisors (38928676224024).

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

12730565491200 is an frugal number, since it uses more digits than its factorization.

12730565491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 12730565491200 in words is "twelve trillion, seven hundred thirty billion, five hundred sixty-five million, four hundred ninety-one thousand, two hundred".