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12201000122001 = 379109760537753
BaseRepresentation
bin1011000110001100010001…
…0001110011011010010001
31121012101220200021020202110
42301203010101303122101
53044400122012401001
641541021224135533
72366331104606055
oct261430421633221
947171820236673
1012201000122001
113984462542509
1214507763075a9
136a671ac8c612
1430276283dc65
1516259909c3d6
hexb18c4473691

12201000122001 has 32 divisors (see below), whose sum is σ = 16493792693760. Its totient is φ = 8021356821504.

The previous prime is 12201000121951. The next prime is 12201000122009. The reversal of 12201000122001 is 10022100010221.

It is not a de Polignac number, because 12201000122001 - 215 = 12201000089233 is a prime.

It is a super-4 number, since 4×122010001220014 (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (12201000122009) 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 31 ways as a sum of consecutive naturals, for example, 1573709541 + ... + 1573717293.

It is an arithmetic number, because the mean of its divisors is an integer number (515431021680).

Almost surely, 212201000122001 is an apocalyptic number.

It is an amenable number.

12201000122001 is a deficient number, since it is larger than the sum of its proper divisors (4292792571759).

12201000122001 is a wasteful number, since it uses less digits than its factorization.

12201000122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14985.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12201000122001 its reverse (10022100010221), we get a palindrome (22223100132222).

The spelling of 12201000122001 in words is "twelve trillion, two hundred one billion, one hundred twenty-two thousand, one".

Divisors: 1 3 79 237 1097 3291 6053 7753 18159 23259 86663 259989 478187 612487 1434561 1837461 6640141 8505041 19920423 25515123 46928909 140786727 524571139 671898239 1573713417 2015694717 3707383811 11122151433 51481013173 154443039519 4067000040667 12201000122001