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12011220011 = 722310997777
BaseRepresentation
bin10110010111110110…
…01010110000101011
31011000002020012022102
423023323022300223
5144044333020021
65303510044015
7603435454100
oct131373126053
934002205272
1012011220011
11510402540a
1223b264960b
13119559279b
1481d2dcaa7
154a473a00b
hex2cbecac2b

12011220011 has 24 divisors (see below), whose sum is σ = 14713633440. Its totient is φ = 9757262592.

The previous prime is 12011219989. The next prime is 12011220017. The reversal of 12011220011 is 11002211021.

It is not a de Polignac number, because 12011220011 - 214 = 12011203627 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12011219974 and 12011220001.

It is not an unprimeable number, because it can be changed into a prime (12011220017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73955 + ... + 171731.

It is an arithmetic number, because the mean of its divisors is an integer number (613068060).

Almost surely, 212011220011 is an apocalyptic number.

12011220011 is a deficient number, since it is larger than the sum of its proper divisors (2702413429).

12011220011 is a wasteful number, since it uses less digits than its factorization.

12011220011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97923 (or 97916 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12011220011 its reverse (11002211021), we get a palindrome (23013431032).

The spelling of 12011220011 in words is "twelve billion, eleven million, two hundred twenty thousand, eleven".

Divisors: 1 7 23 49 109 161 763 1127 2507 5341 17549 97777 122843 684439 2248871 4791073 10657693 15742097 74603851 110194679 245126939 522226957 1715888573 12011220011