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12300122230002 = 2323730116133727
BaseRepresentation
bin1011001011111101100001…
…1010101000110011110010
31121112212202200000001120200
42302333120122220303302
53103011122242330002
642054333111020030
72406440331614505
oct262773032506362
947485680001520
1012300122230002
113a124a8376332
121467a1a06a616
136b2b86946429
1430748705b13c
15164e4b1c5b1c
hexb2fd86a8cf2

12300122230002 has 48 divisors (see below), whose sum is σ = 27379636906752. Its totient is φ = 3987903296160.

The previous prime is 12300122230001. The next prime is 12300122230003. The reversal of 12300122230002 is 20003222100321.

12300122230002 is a `hidden beast` number, since 12 + 300 + 122 + 230 + 0 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12300122230001) and next prime (12300122230003).

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

It is not an unprimeable number, because it can be changed into a prime (12300122230001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1061538 + ... + 5072189.

It is an arithmetic number, because the mean of its divisors is an integer number (570409102224).

Almost surely, 212300122230002 is an apocalyptic number.

12300122230002 is an abundant number, since it is smaller than the sum of its proper divisors (15079514676750).

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

12300122230002 is a wasteful number, since it uses less digits than its factorization.

12300122230002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6136783 (or 6136780 counting only the distinct ones).

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

Adding to 12300122230002 its reverse (20003222100321), we get a palindrome (32303344330323).

The spelling of 12300122230002 in words is "twelve trillion, three hundred billion, one hundred twenty-two million, two hundred thirty thousand, two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 3011 6022 9033 18066 27099 54198 111407 222814 334221 668442 1002663 2005326 6133727 12267454 18401181 36802362 55203543 110407086 226947899 453895798 680843697 1361687394 2042531091 4085062182 18468651997 36937303994 55405955991 110811911982 166217867973 332435735946 683340123889 1366680247778 2050020371667 4100040743334 6150061115001 12300122230002