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12201010221 = 337614573943
BaseRepresentation
bin10110101110011110…
…01010010000101101
31011111022100112112110
423113033022100231
5144441424311341
65334405554233
7611231606241
oct132717122055
934438315473
1012201010221
1151a1174624
122446115979
1311c59b389a
1483a5c4421
154b6229216
hex2d73ca42d

12201010221 has 32 divisors (see below), whose sum is σ = 17023061248. Its totient is φ = 7765424640.

The previous prime is 12201010219. The next prime is 12201010229.

12201010221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12201010221 - 21 = 12201010219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12201010197 and 12201010206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201010229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3092376 + ... + 3096318.

It is an arithmetic number, because the mean of its divisors is an integer number (531970664).

Almost surely, 212201010221 is an apocalyptic number.

It is an amenable number.

12201010221 is a deficient number, since it is larger than the sum of its proper divisors (4822051027).

12201010221 is a wasteful number, since it uses less digits than its factorization.

12201010221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4501.

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

It can be divided in two parts, 122010 and 10221, that added together give a palindrome (132231).

The spelling of 12201010221 in words is "twelve billion, two hundred one million, ten thousand, two hundred twenty-one".

Divisors: 1 3 37 61 111 183 457 1371 2257 3943 6771 11829 16909 27877 50727 83631 145891 240523 437673 721569 1031449 1801951 3094347 5405853 8899351 26698053 66672187 109919011 200016561 329757033 4067003407 12201010221