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12001101201 = 322409755337
BaseRepresentation
bin10110010110101001…
…00100010110010001
31010222101012002220200
423023110210112101
5144034240214301
65302505125413
7603253451145
oct131324442621
933871162820
1012001101201
1150a9343a61
1223ab189869
13119345bb1b
1481bc27225
154a38dbc86
hex2cb524591

12001101201 has 12 divisors (see below), whose sum is σ = 17335956612. Its totient is φ = 8000257536.

The previous prime is 12001101191. The next prime is 12001101247. The reversal of 12001101201 is 10210110021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7115091201 + 4886010000 = 84351^2 + 69900^2 .

It is not a de Polignac number, because 12001101201 - 25 = 12001101169 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 (12001101901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189205 + ... + 244541.

It is an arithmetic number, because the mean of its divisors is an integer number (1444663051).

Almost surely, 212001101201 is an apocalyptic number.

It is an amenable number.

12001101201 is a deficient number, since it is larger than the sum of its proper divisors (5334855411).

12001101201 is a wasteful number, since it uses less digits than its factorization.

12001101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79440 (or 79437 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12001101201 its reverse (10210110021), we get a palindrome (22211211222).

The spelling of 12001101201 in words is "twelve billion, one million, one hundred one thousand, two hundred one".

Divisors: 1 3 9 24097 55337 72291 166011 216873 498033 1333455689 4000367067 12001101201