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12001210001 = 114325973137
BaseRepresentation
bin10110010110101001…
…11110111010010001
31010222101101122011022
423023110332322101
5144034302210001
65302511325225
7603254413304
oct131324767221
933871348138
1012001210001
1150a9408780
1223ab220815
1311934994c1
1481bc54b3b
154a390e11b
hex2cb53ee91

12001210001 has 48 divisors (see below), whose sum is σ = 13918547520. Its totient is φ = 10256924160.

The previous prime is 12001209943. The next prime is 12001210003. The reversal of 12001210001 is 10001210021.

It is not a de Polignac number, because 12001210001 - 230 = 10927468177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12001210003) 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, 87600005 + ... + 87600141.

It is an arithmetic number, because the mean of its divisors is an integer number (289969740).

Almost surely, 212001210001 is an apocalyptic number.

12001210001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12001210001 is a deficient number, since it is larger than the sum of its proper divisors (1917337519).

12001210001 is a wasteful number, since it uses less digits than its factorization.

12001210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12001210001 its reverse (10001210021), we get a palindrome (22002420022).

The spelling of 12001210001 in words is "twelve billion, one million, two hundred ten thousand, one".

Divisors: 1 11 43 59 73 137 473 649 803 1507 1849 2537 3139 4307 5891 8083 10001 20339 27907 34529 47377 64801 88913 109091 110011 134977 185201 253313 347569 430043 590059 1200001 1484747 2037211 2786443 3823259 4730473 6490649 7963643 14945467 18491849 25372537 87600073 164400137 203410339 279097907 1091019091 12001210001