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12211244211221 = 1117183139239091
BaseRepresentation
bin1011000110110010011011…
…0111111001110000010101
31121020101100121022220100022
42301230212313321300111
53100032112004224341
641545433530354525
72400143005124306
oct261544667716025
947211317286308
1012211244211221
11398883a013350
121452754b8ba45
136a76913ccc83
143030551807ad
151629985c2e4b
hexb1b26df9c15

12211244211221 has 32 divisors (see below), whose sum is σ = 14117820189696. Its totient is φ = 10438606944000.

The previous prime is 12211244211157. The next prime is 12211244211253.

12211244211221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12211244211221 - 26 = 12211244211157 is a prime.

It is a super-2 number, since 2×122112442112212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211244211521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343218886 + ... + 1343227976.

It is an arithmetic number, because the mean of its divisors is an integer number (441181880928).

Almost surely, 212211244211221 is an apocalyptic number.

12211244211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211244211221 is a deficient number, since it is larger than the sum of its proper divisors (1906575978475).

12211244211221 is a wasteful number, since it uses less digits than its factorization.

12211244211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14873.

The product of its digits is 1024, while the sum is 26.

It can be divided in two parts, 1221124 and 4211221, that added together give a palindrome (5432345).

The spelling of 12211244211221 in words is "twelve trillion, two hundred eleven billion, two hundred forty-four million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 11 17 187 1831 3923 9091 20141 31127 43153 66691 100001 154547 342397 733601 1700017 7183013 16645621 35663993 79013143 122111221 183101831 282975557 392303923 606287881 1343223431 3112731127 6669166691 65300771183 718308483013 1110113110111 12211244211221