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12213124 = 22711192087
BaseRepresentation
bin101110100101…
…101110000100
3211222111020221
4232211232010
511111304444
61113434124
7205544530
oct56455604
924874227
1012213124
1169919a0
12410b944
1326b8001
14189cbc0
151113a84
hexba5b84

12213124 has 48 divisors (see below), whose sum is σ = 28062720. Its totient is φ = 4505760.

The previous prime is 12213109. The next prime is 12213127. The reversal of 12213124 is 42131221.

12213124 = T232 + T233 + ... + T440.

12213124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12213098 and 12213107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213127) 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, 4809 + ... + 6895.

It is an arithmetic number, because the mean of its divisors is an integer number (584640).

Almost surely, 212213124 is an apocalyptic number.

12213124 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 12213124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14031360).

12213124 is an abundant number, since it is smaller than the sum of its proper divisors (15849596).

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

12213124 is a wasteful number, since it uses less digits than its factorization.

12213124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2126 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 12213124 is about 3494.7280294753. The cubic root of 12213124 is about 230.2902699336.

Adding to 12213124 its reverse (42131221), we get a palindrome (54344345).

The spelling of 12213124 in words is "twelve million, two hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 836 1463 2087 2926 4174 5852 8348 14609 22957 29218 39653 45914 58436 79306 91828 158612 160699 277571 321398 436183 555142 642796 872366 1110284 1744732 3053281 6106562 12213124