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12300034054152 = 23313473172646029
BaseRepresentation
bin1011001011111101001100…
…1010010001100000001000
31121112212112112002021001110
42302333103022101200020
53103010432204213102
642054320241050320
72406435211260165
oct262772312214010
947485475067043
1012300034054152
113a12462620529
1214679b46269a0
136b2b715b2880
1430747946706c
15164e435a986c
hexb2fd3291808

12300034054152 has 128 divisors (see below), whose sum is σ = 33926761612800. Its totient is φ = 3692415648768.

The previous prime is 12300034054117. The next prime is 12300034054159. The reversal of 12300034054152 is 25145043000321.

It is not an unprimeable number, because it can be changed into a prime (12300034054159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3325474 + ... + 5971502.

It is an arithmetic number, because the mean of its divisors is an integer number (265052825100).

Almost surely, 212300034054152 is an apocalyptic number.

12300034054152 is a gapful number since it is divisible by the number (12) 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 12300034054152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963380806400).

12300034054152 is an abundant number, since it is smaller than the sum of its proper divisors (21626727558648).

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

12300034054152 is a wasteful number, since it uses less digits than its factorization.

12300034054152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646415 (or 2646411 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 12300034054152 its reverse (25145043000321), we get a palindrome (37445077054473).

The spelling of 12300034054152 in words is "twelve trillion, three hundred billion, thirty-four million, fifty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 188 282 312 317 376 564 611 634 951 1128 1222 1268 1833 1902 2444 2536 3666 3804 4121 4888 7332 7608 8242 12363 14664 14899 16484 24726 29798 32968 44697 49452 59596 89394 98904 119192 178788 193687 357576 387374 581061 774748 1162122 1549496 2324244 2646029 4648488 5292058 7938087 10584116 15876174 21168232 31752348 34398377 63504696 68796754 103195131 124363363 137593508 206390262 248726726 275187016 373090089 412780524 497453452 746180178 825561048 838791193 994906904 1492360356 1616723719 1677582386 2516373579 2984720712 3233447438 3355164772 4850171157 5032747158 6466894876 6710329544 9700342314 10065494316 10904285509 12933789752 19400684628 20130988632 21808571018 32712856527 38801369256 39423186071 43617142036 65425713054 78846372142 87234284072 118269558213 130851426108 157692744284 236539116426 261702852216 315385488568 473078232852 512501418923 946156465704 1025002837846 1537504256769 2050005675692 3075008513538 4100011351384 6150017027076 12300034054152