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12201210011001 = 3111793674956207
BaseRepresentation
bin1011000110001101000011…
…0010011101110101111001
31121012102110022012201100010
42301203100302131311321
53044401034230323001
641541054122532133
72366336233621254
oct261432062356571
947172408181303
1012201210011001
11398455aa6a1a0
121450814667049
136a67525c9aab
1430278267809b
151625ac70b8d6
hexb18d0c9dd79

12201210011001 has 32 divisors (see below), whose sum is σ = 17847164160000. Its totient is φ = 7353030793280.

The previous prime is 12201210010931. The next prime is 12201210011027. The reversal of 12201210011001 is 10011001210221.

It is not a de Polignac number, because 12201210011001 - 213 = 12201210002809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12201210011071) 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 31 ways as a sum of consecutive naturals, for example, 217048240 + ... + 217104446.

It is an arithmetic number, because the mean of its divisors is an integer number (557723880000).

Almost surely, 212201210011001 is an apocalyptic number.

12201210011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12201210011001 is a deficient number, since it is larger than the sum of its proper divisors (5645954148999).

12201210011001 is a wasteful number, since it uses less digits than its factorization.

12201210011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93149.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12201210011001 its reverse (10011001210221), we get a palindrome (22212211221222).

The spelling of 12201210011001 in words is "twelve trillion, two hundred one billion, two hundred ten million, eleven thousand, one".

Divisors: 1 3 11 33 179 537 1969 5907 36749 56207 110247 168621 404239 618277 1212717 1854831 6578071 10061053 19734213 30183159 72358781 110671583 217076343 332014749 2065551043 6196653129 22721061473 68163184419 369733636697 1109200910091 4067070003667 12201210011001