Search a number
-
+
12300545520000 = 2733547180207
BaseRepresentation
bin1011001011111111000110…
…1001010111000110000000
31121112220212011111102022000
42302333301221113012000
53103013004123120000
642054443111344000
72406453661540233
oct262776151270600
947486764442260
1012300545520000
113a126a52a9381
121467b17982000
136b2c2355079a
143074c736541a
15164e7343a000
hexb2ff1a57180

12300545520000 has 640 divisors, whose sum is σ = 46004613811200. Its totient is φ = 3233905920000.

The previous prime is 12300545519963. The next prime is 12300545520019. The reversal of 12300545520000 is 2554500321.

It is a happy number.

12300545520000 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 0 + 5 + 455 + 200 + 0 + 0 = 666.

12300545520000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 153319897 + ... + 153400103.

It is an arithmetic number, because the mean of its divisors is an integer number (71882209080).

Almost surely, 212300545520000 is an apocalyptic number.

12300545520000 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 12300545520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23002306905600).

12300545520000 is an abundant number, since it is smaller than the sum of its proper divisors (33704068291200).

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

12300545520000 is an frugal number, since it uses more digits than its factorization.

12300545520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80321 (or 80288 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 12300545520000 in words is "twelve trillion, three hundred billion, five hundred forty-five million, five hundred twenty thousand".