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12120201 = 3217372141
BaseRepresentation
bin101110001111…
…000010001001
3211210202210100
4232033002021
511100321301
61111440013
7205006602
oct56170211
924722710
1012120201
1169290a5
124086009
132684922
141876da9
1510e6286
hexb8f089

12120201 has 24 divisors (see below), whose sum is σ = 19046664. Its totient is φ = 7395840.

The previous prime is 12120181. The next prime is 12120223. The reversal of 12120201 is 10202121.

12120201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9144576 + 2975625 = 3024^2 + 1725^2 .

It is not a de Polignac number, because 12120201 - 211 = 12118153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4591 + ... + 6731.

It is an arithmetic number, because the mean of its divisors is an integer number (793611).

Almost surely, 212120201 is an apocalyptic number.

It is an amenable number.

12120201 is a deficient number, since it is larger than the sum of its proper divisors (6926463).

12120201 is a wasteful number, since it uses less digits than its factorization.

With its successor (12120202) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (2201).

12120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 12120201 is about 3481.4079048569. The cubic root of 12120201 is about 229.7047313742.

Adding to 12120201 its reverse (10202121), we get a palindrome (22322322).

It can be divided in two parts, 12120 and 201, that added together give a palindrome (12321).

The spelling of 12120201 in words is "twelve million, one hundred twenty thousand, two hundred one".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 2141 5661 6423 19269 36397 79217 109191 237651 327573 712953 1346689 4040067 12120201