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12300307280172 = 22323111021780717
BaseRepresentation
bin1011001011111110001101…
…1100100011000100101100
31121112220020120012120200200
42302333203130203010230
53103012012130431142
642054403321153500
72406445036535412
oct262774334430454
947486216176620
1012300307280172
113a1259287825a
121467a7002b890
136b2bb6097b82
143074a386b2b2
15164e5c57a64c
hexb2fe372312c

12300307280172 has 36 divisors (see below), whose sum is σ = 32095425450816. Its totient is φ = 3967841057760.

The previous prime is 12300307280159. The next prime is 12300307280201. The reversal of 12300307280172 is 27108270300321.

12300307280172 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 0 + 307 + 280 + 1 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5510889243 + ... + 5510891474.

It is an arithmetic number, because the mean of its divisors is an integer number (891539595856).

Almost surely, 212300307280172 is an apocalyptic number.

12300307280172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12300307280172 is an abundant number, since it is smaller than the sum of its proper divisors (19795118170644).

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

12300307280172 is a wasteful number, since it uses less digits than its factorization.

12300307280172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11021780758 (or 11021780753 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 12300307280172 its reverse (27108270300321), we get a palindrome (39408577580493).

The spelling of 12300307280172 in words is "twelve trillion, three hundred billion, three hundred seven million, two hundred eighty thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 11021780717 22043561434 33065342151 44087122868 66130684302 99196026453 132261368604 198392052906 341675202227 396784105812 683350404454 1025025606681 1366700808908 2050051213362 3075076820043 4100102426724 6150153640086 12300307280172