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12131201241 = 3217451317569
BaseRepresentation
bin10110100110001001…
…10111000011011001
31011022102222212121200
423103010313003121
5144321041414431
65323433424413
7606423336435
oct132304670331
934272885550
1012131201241
115165824055
12242686b109
1311b43b0cb3
148312119c5
154b0039ee6
hex2d31370d9

12131201241 has 24 divisors (see below), whose sum is σ = 18558769320. Its totient is φ = 7609614336.

The previous prime is 12131201183. The next prime is 12131201249. The reversal of 12131201241 is 14210213121.

12131201241 is digitally balanced in base 2, 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 327465216 + 11803736025 = 18096^2 + 108645^2 .

It is not a de Polignac number, because 12131201241 - 211 = 12131199193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12131201249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 681705 + ... + 699273.

It is an arithmetic number, because the mean of its divisors is an integer number (773282055).

Almost surely, 212131201241 is an apocalyptic number.

It is an amenable number.

12131201241 is a deficient number, since it is larger than the sum of its proper divisors (6427568079).

12131201241 is a wasteful number, since it uses less digits than its factorization.

12131201241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22105 (or 22102 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12131201241 its reverse (14210213121), we get a palindrome (26341414362).

The spelling of 12131201241 in words is "twelve billion, one hundred thirty-one million, two hundred one thousand, two hundred forty-one".

Divisors: 1 3 9 17 51 153 4513 13539 17569 40617 52707 76721 158121 230163 298673 690489 896019 2688057 79288897 237866691 713600073 1347911249 4043733747 12131201241