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12211304 = 23717101127
BaseRepresentation
bin101110100101…
…010001101000
3211222101202112
4232211101220
511111230204
61113421452
7205536320
oct56452150
924871675
1012211304
116990596
12410a888
1326b7231
14189c280
15111326e
hexba5468

12211304 has 64 divisors (see below), whose sum is σ = 28200960. Its totient is φ = 4838400.

The previous prime is 12211279. The next prime is 12211307. The reversal of 12211304 is 40311221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211307) 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 15 ways as a sum of consecutive naturals, for example, 96089 + ... + 96215.

It is an arithmetic number, because the mean of its divisors is an integer number (440640).

Almost surely, 212211304 is an apocalyptic number.

12211304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100480).

12211304 is an abundant number, since it is smaller than the sum of its proper divisors (15989656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12211304 is a wasteful number, since it uses less digits than its factorization.

12211304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 12211304 is about 3494.4676275507. The cubic root of 12211304 is about 230.2788300784.

Adding to 12211304 its reverse (40311221), we get a palindrome (52522525).

The spelling of 12211304 in words is "twelve million, two hundred eleven thousand, three hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 101 119 127 136 202 238 254 404 476 508 707 808 889 952 1016 1414 1717 1778 2159 2828 3434 3556 4318 5656 6868 7112 8636 12019 12827 13736 15113 17272 24038 25654 30226 48076 51308 60452 89789 96152 102616 120904 179578 218059 359156 436118 718312 872236 1526413 1744472 3052826 6105652 12211304