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12248124 = 22371391049
BaseRepresentation
bin101110101110…
…010000111100
3212001021021020
4232232100330
511113414444
61114304140
7206051550
oct56562074
925037236
1012248124
116a06219
124128050
1326cac15
1418ab860
15111e119
hexbae43c

12248124 has 48 divisors (see below), whose sum is σ = 32928000. Its totient is φ = 3470976.

The previous prime is 12248123. The next prime is 12248149. The reversal of 12248124 is 42184221.

It is a junction number, because it is equal to n+sod(n) for n = 12248094 and 12248103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12248123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11152 + ... + 12200.

It is an arithmetic number, because the mean of its divisors is an integer number (686000).

Almost surely, 212248124 is an apocalyptic number.

12248124 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 12248124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16464000).

12248124 is an abundant number, since it is smaller than the sum of its proper divisors (20679876).

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

12248124 is a wasteful number, since it uses less digits than its factorization.

12248124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1200 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 12248124 is about 3499.7319897386. The cubic root of 12248124 is about 230.5100464124.

The spelling of 12248124 in words is "twelve million, two hundred forty-eight thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 139 278 417 556 834 973 1049 1668 1946 2098 2919 3147 3892 4196 5838 6294 7343 11676 12588 14686 22029 29372 44058 88116 145811 291622 437433 583244 874866 1020677 1749732 2041354 3062031 4082708 6124062 12248124