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12201211201201 = 111792097085147
BaseRepresentation
bin1011000110001101000011…
…0111000000011010110001
31121012102110101110011222121
42301203100313000122301
53044401040031414301
641541054204234241
72366336250006241
oct261432067003261
947172411404877
1012201211201201
113984560702430
121450814b3b981
136a6752925759
143027828a7b21
151625ac8943a1
hexb18d0dc06b1

12201211201201 has 16 divisors (see below), whose sum is σ = 14094910025280. Its totient is φ = 10438403898880.

The previous prime is 12201211201183. The next prime is 12201211201313. The reversal of 12201211201201 is 10210211210221.

It is a cyclic number.

It is not a de Polignac number, because 12201211201201 - 27 = 12201211201073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12201211291201) 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 15 ways as a sum of consecutive naturals, for example, 1820491 + ... + 5264656.

It is an arithmetic number, because the mean of its divisors is an integer number (880931876580).

Almost surely, 212201211201201 is an apocalyptic number.

12201211201201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12201211201201 is a deficient number, since it is larger than the sum of its proper divisors (1893698824079).

12201211201201 is a wasteful number, since it uses less digits than its factorization.

12201211201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7094384.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12201211201201 its reverse (10210211210221), we get a palindrome (22411422411422).

The spelling of 12201211201201 in words is "twelve trillion, two hundred one billion, two hundred eleven million, two hundred one thousand, two hundred one".

Divisors: 1 11 17 187 9209 101299 156553 1722083 7085147 77936617 120447499 1324922489 65247118723 717718305953 1109201018291 12201211201201