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12132211121 = 307136728909
BaseRepresentation
bin10110100110010001…
…01101100110110001
31011022111220011220122
423103020231212301
5144321321223441
65323511220025
7606435043622
oct132310554661
934274804818
1012132211121
115166353868
122427077615
1311b4675864
148313d5a49
154b018934b
hex2d322d9b1

12132211121 has 8 divisors (see below), whose sum is σ = 12181055040. Its totient is φ = 12083428368.

The previous prime is 12132211111. The next prime is 12132211139. The reversal of 12132211121 is 12111223121.

It is a happy number.

12132211121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12132211121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12132211121.

It is not an unprimeable number, because it can be changed into a prime (12132211111) 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 7 ways as a sum of consecutive naturals, for example, 405215 + ... + 434123.

It is an arithmetic number, because the mean of its divisors is an integer number (1522631880).

Almost surely, 212132211121 is an apocalyptic number.

It is an amenable number.

12132211121 is a deficient number, since it is larger than the sum of its proper divisors (48843919).

12132211121 is a wasteful number, since it uses less digits than its factorization.

12132211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30583.

The product of its digits is 48, while the sum is 17.

Adding to 12132211121 its reverse (12111223121), we get a palindrome (24243434242).

The spelling of 12132211121 in words is "twelve billion, one hundred thirty-two million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 307 1367 28909 419669 8875063 39518603 12132211121