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12011220001 = 1121712914523
BaseRepresentation
bin10110010111110110…
…01010110000100001
31011000002020012022001
423023323022300201
5144044333020001
65303510044001
7603435454054
oct131373126041
934002205261
1012011220001
115104025400
1223b2649601
131195592791
1481d2dca9b
154a473a001
hex2cbecac21

12011220001 has 24 divisors (see below), whose sum is σ = 13992949152. Its totient is φ = 10266748800.

The previous prime is 12011219989. The next prime is 12011220017. The reversal of 12011220001 is 10002211021.

12011220001 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 12011220001 - 227 = 11877002273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12011220001.

It is not an unprimeable number, because it can be changed into a prime (12011220301) 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 23 ways as a sum of consecutive naturals, for example, 2653326 + ... + 2657848.

It is an arithmetic number, because the mean of its divisors is an integer number (583039548).

Almost surely, 212011220001 is an apocalyptic number.

12011220001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12011220001 is a deficient number, since it is larger than the sum of its proper divisors (1981729151).

12011220001 is a wasteful number, since it uses less digits than its factorization.

12011220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5853 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12011220001 its reverse (10002211021), we get a palindrome (22013431022).

The spelling of 12011220001 in words is "twelve billion, eleven million, two hundred twenty thousand, one".

Divisors: 1 11 17 121 187 1291 2057 4523 14201 21947 49753 76891 156211 241417 547283 845801 2655587 5839193 9303811 64231123 99266281 706542353 1091929091 12011220001