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12131211848 = 237255632
BaseRepresentation
bin10110100110001001…
…11001101001001000
31011022110000102011112
423103010321221020
5144321042234343
65323433545452
7606423412400
oct132304715110
934273012145
1012131211848
115165831018
122426875288
1311b43b5a82
14831215800
154b003d218
hex2d3139a48

12131211848 has 36 divisors (see below), whose sum is σ = 26464415715. Its totient is φ = 5198156208.

The previous prime is 12131211811. The next prime is 12131211853. The reversal of 12131211848 is 84811213121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 6065605924 + 6065605924 = 77882^2 + 77882^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=77882.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2177915 + ... + 2183477.

Almost surely, 212131211848 is an apocalyptic number.

It is an amenable number.

12131211848 is an abundant number, since it is smaller than the sum of its proper divisors (14333203867).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12131211848 is an frugal number, since it uses more digits than its factorization.

12131211848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11146 (or 5572 counting only the distinct ones).

The product of its digits is 3072, while the sum is 32.

Multiplying 12131211848 by its sum of digits (32), we get a square (388198779136 = 6230562).

Adding to 12131211848 its reverse (84811213121), we get a palindrome (96942424969).

The spelling of 12131211848 in words is "twelve billion, one hundred thirty-one million, two hundred eleven thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 5563 11126 22252 38941 44504 77882 155764 272587 311528 545174 1090348 2180696 30946969 61893938 123787876 216628783 247575752 433257566 866515132 1516401481 1733030264 3032802962 6065605924 12131211848