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12243103001712 = 24321159409320303
BaseRepresentation
bin1011001000101001000111…
…0011100010110001110000
31121100102120220021010220200
42302022101303202301300
53101042333332023322
642012223123035200
72402351335306362
oct262122163426160
947312526233820
1012243103001712
1139a02a8516170
12145896650bb00
136aa69a8ca6ab
143047d8406d32
151637104b98ac
hexb2291ce2c70

12243103001712 has 240 divisors, whose sum is σ = 38105157542400. Its totient is φ = 3638220733440.

The previous prime is 12243103001711. The next prime is 12243103001713. The reversal of 12243103001712 is 21710030134221.

12243103001712 is a `hidden beast` number, since 1 + 2 + 24 + 310 + 300 + 17 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (12243103001711) and next prime (12243103001713).

It is a super-2 number, since 2×122431030017122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12243103001711) 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 47 ways as a sum of consecutive naturals, for example, 38063353 + ... + 38383655.

It is an arithmetic number, because the mean of its divisors is an integer number (158771489760).

Almost surely, 212243103001712 is an apocalyptic number.

12243103001712 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 12243103001712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19052578771200).

12243103001712 is an abundant number, since it is smaller than the sum of its proper divisors (25862054540688).

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

12243103001712 is a wasteful number, since it uses less digits than its factorization.

12243103001712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320796 (or 320787 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 12243103001712 its reverse (21710030134221), we get a palindrome (33953133135933).

The spelling of 12243103001712 in words is "twelve trillion, two hundred forty-three billion, one hundred three million, one thousand, seven hundred twelve".