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12112133201 = 723347216803
BaseRepresentation
bin10110100011111000…
…00111110001010001
31011021010010010011222
423101330013301101
5144301201230301
65321513014425
7606102301460
oct132174076121
934233103158
1012112133201
115155a8aa43
1224203b4415
1311b0465b2c
1482c88a9d7
154ad52031b
hex2d1f07c51

12112133201 has 16 divisors (see below), whose sum is σ = 14485976064. Its totient is φ = 9901780944.

The previous prime is 12112133183. The next prime is 12112133213. The reversal of 12112133201 is 10233121121.

12112133201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12112133201 - 210 = 12112132177 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12112133201.

It is not an unprimeable number, because it can be changed into a prime (12112133251) 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 15 ways as a sum of consecutive naturals, for example, 52535 + ... + 164268.

It is an arithmetic number, because the mean of its divisors is an integer number (905373504).

Almost surely, 212112133201 is an apocalyptic number.

It is an amenable number.

12112133201 is a deficient number, since it is larger than the sum of its proper divisors (2373842863).

12112133201 is a wasteful number, since it uses less digits than its factorization.

12112133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217180.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12112133201 its reverse (10233121121), we get a palindrome (22345254322).

The spelling of 12112133201 in words is "twelve billion, one hundred twelve million, one hundred thirty-three thousand, two hundred one".

Divisors: 1 7 23 161 347 2429 7981 55867 216803 1517621 4986469 34905283 75230641 526614487 1730304743 12112133201