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12211221 = 3113773137
BaseRepresentation
bin101110100101…
…010000010101
3211222101122110
4232211100111
511111224341
61113421233
7205536141
oct56452025
924871573
1012211221
116990520
12410a819
1326b7199
14189c221
151113216
hexba5415

12211221 has 32 divisors (see below), whose sum is σ = 18626688. Its totient is φ = 7050240.

The previous prime is 12211217. The next prime is 12211223.

12211221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12211221 - 22 = 12211217 is a prime.

It is a super-2 number, since 2×122112212 = 298227836621682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211197 and 12211206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89065 + ... + 89201.

It is an arithmetic number, because the mean of its divisors is an integer number (582084).

Almost surely, 212211221 is an apocalyptic number.

12211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211221 is a deficient number, since it is larger than the sum of its proper divisors (6415467).

12211221 is a wasteful number, since it uses less digits than its factorization.

12211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261.

The product of its digits is 16, while the sum is 12.

The square root of 12211221 is about 3494.4557516157. The cubic root of 12211221 is about 230.2783083436.

It can be divided in two parts, 1221 and 1221, that added together give a palindrome (2442).

The spelling of 12211221 in words is "twelve million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 11 33 37 73 111 137 219 407 411 803 1221 1507 2409 2701 4521 5069 8103 10001 15207 29711 30003 55759 89133 110011 167277 330033 370037 1110111 4070407 12211221