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12132211113 = 3211192339467
BaseRepresentation
bin10110100110010001…
…01101100110101001
31011022111220011220100
423103020231212221
5144321321223423
65323511220013
7606435043611
oct132310554651
934274804810
1012132211113
115166353860
122427077609
1311b4675859
148313d5a41
154b0189343
hex2d322d9a9

12132211113 has 36 divisors (see below), whose sum is σ = 20176620048. Its totient is φ = 6965842320.

The previous prime is 12132211111. The next prime is 12132211139. The reversal of 12132211113 is 31111223121.

12132211113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12132211113 - 21 = 12132211111 is a prime.

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 35 ways as a sum of consecutive naturals, for example, 133995 + ... + 205472.

It is an arithmetic number, because the mean of its divisors is an integer number (560461668).

Almost surely, 212132211113 is an apocalyptic number.

It is an amenable number.

12132211113 is a deficient number, since it is larger than the sum of its proper divisors (8044408935).

12132211113 is a wasteful number, since it uses less digits than its factorization.

12132211113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339522 (or 339500 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 12132211113 its reverse (31111223121), we get a palindrome (43243434234).

The spelling of 12132211113 in words is "twelve billion, one hundred thirty-two million, two hundred eleven thousand, one hundred thirteen".

Divisors: 1 3 9 11 19 33 57 99 171 209 361 627 1083 1881 3249 3971 11913 35739 339467 1018401 3055203 3734137 6449873 11202411 19349619 33607233 58048857 70948603 122547587 212845809 367642761 638537427 1102928283 1348023457 4044070371 12132211113