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12188121 = 3112691373
BaseRepresentation
bin101110011111…
…100111011001
3211221012221220
4232133213121
511110004441
61113122253
7205411611
oct56374731
924835856
1012188121
116975130
1240b9389
1326a980a
141893a41
15110b466
hexb9f9d9

12188121 has 16 divisors (see below), whose sum is σ = 17807040. Its totient is φ = 7353920.

The previous prime is 12188119. The next prime is 12188123.

12188121 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (12188119) and next prime (12188123).

It is a cyclic number.

It is not a de Polignac number, because 12188121 - 21 = 12188119 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12188091 and 12188100.

It is not an unprimeable number, because it can be changed into a prime (12188123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8191 + ... + 9563.

It is an arithmetic number, because the mean of its divisors is an integer number (1112940).

Almost surely, 212188121 is an apocalyptic number.

12188121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12188121 is a deficient number, since it is larger than the sum of its proper divisors (5618919).

12188121 is a wasteful number, since it uses less digits than its factorization.

12188121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656.

The product of its digits is 256, while the sum is 24.

The square root of 12188121 is about 3491.1489512766. The cubic root of 12188121 is about 230.1330106508.

It can be divided in two parts, 1218 and 8121, that added together give a palindrome (9339).

The spelling of 12188121 in words is "twelve million, one hundred eighty-eight thousand, one hundred twenty-one".

Divisors: 1 3 11 33 269 807 1373 2959 4119 8877 15103 45309 369337 1108011 4062707 12188121