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12300212020320 = 2533572914025967
BaseRepresentation
bin1011001011111101110111…
…0001001010010001100000
31121112212222220221212202000
42302333131301022101200
53103011313234122240
642054350035324000
72406442502045040
oct262773561122140
947485886855660
1012300212020320
113a12544024104
121467a44150600
136b2b9c423ab3
14307494d51720
15164e54010430
hexb2fddc4a460

12300212020320 has 384 divisors, whose sum is σ = 50897432678400. Its totient is φ = 2714529355776.

The previous prime is 12300212020273. The next prime is 12300212020373. The reversal of 12300212020320 is 2302021200321.

12300212020320 is a `hidden beast` number, since 1 + 2 + 300 + 2 + 1 + 20 + 20 + 320 = 666.

12300212020320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12300212020293 and 12300212020302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6136024 + ... + 7889943.

It is an arithmetic number, because the mean of its divisors is an integer number (132545397600).

Almost surely, 212300212020320 is an apocalyptic number.

12300212020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12300212020320 is an abundant number, since it is smaller than the sum of its proper divisors (38597220658080).

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

12300212020320 is a wasteful number, since it uses less digits than its factorization.

12300212020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14026027 (or 14026013 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12300212020320 its reverse (2302021200321), we get a palindrome (14602233220641).

The spelling of 12300212020320 in words is "twelve trillion, three hundred billion, two hundred twelve million, twenty thousand, three hundred twenty".