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12323200011012 = 223211283109961809
BaseRepresentation
bin1011001101010011011111…
…1101011000101100000100
31121122002022222220210122200
42303110313331120230010
53103400403200323022
642113111103554500
72411215245536052
oct263246775305404
947562288823580
1012323200011012
113a21270160820
12147039a8bba30
136b50c3b69957
14308635dd51d2
1516584c24bbac
hexb3537f58b04

12323200011012 has 72 divisors (see below), whose sum is σ = 34102236211680. Its totient is φ = 3721107582720.

The previous prime is 12323200011011. The next prime is 12323200011013. The reversal of 12323200011012 is 21011000232321.

12323200011012 is a `hidden beast` number, since 1 + 232 + 320 + 0 + 0 + 110 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12323200011011) and next prime (12323200011013).

It is a super-2 number, since 2×123232000110122 (a number of 27 digits) contains 22 as substring.

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 (12323200011011) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 54868837 + ... + 55092972.

Almost surely, 212323200011012 is an apocalyptic number.

12323200011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12323200011012 is an abundant number, since it is smaller than the sum of its proper divisors (21779036200668).

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

12323200011012 is a wasteful number, since it uses less digits than its factorization.

12323200011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109962113 (or 109962108 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12323200011012 its reverse (21011000232321), we get a palindrome (33334200243333).

The spelling of 12323200011012 in words is "twelve trillion, three hundred twenty-three billion, two hundred million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 283 396 566 849 1132 1698 2547 3113 3396 5094 6226 9339 10188 12452 18678 28017 37356 56034 112068 109961809 219923618 329885427 439847236 659770854 989656281 1209579899 1319541708 1979312562 2419159798 3628739697 3958625124 4838319596 7257479394 10886219091 14514958788 21772438182 31119191947 43544876364 62238383894 93357575841 124476767788 186715151682 280072727523 342311111417 373430303364 560145455046 684622222834 1026933334251 1120290910092 1369244445668 2053866668502 3080800002753 4107733337004 6161600005506 12323200011012