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12124332 = 223211171801
BaseRepresentation
bin101110010000…
…000010101100
3211210222110100
4232100002230
511100434312
61111511100
7205024623
oct56200254
924728410
1012124332
116931210
124088490
13268677c
1418786ba
1510e75dc
hexb900ac

12124332 has 72 divisors (see below), whose sum is σ = 35420112. Its totient is φ = 3456000.

The previous prime is 12124327. The next prime is 12124339. The reversal of 12124332 is 23342121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12124339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5832 + ... + 7632.

It is an arithmetic number, because the mean of its divisors is an integer number (491946).

Almost surely, 212124332 is an apocalyptic number.

12124332 is a gapful number since it is divisible by the number (12) 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 12124332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17710056).

12124332 is an abundant number, since it is smaller than the sum of its proper divisors (23295780).

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

12124332 is a wasteful number, since it uses less digits than its factorization.

12124332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1834 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 12124332 is about 3482.0011487649. The cubic root of 12124332 is about 229.7308256185.

Adding to 12124332 its reverse (23342121), we get a palindrome (35466453).

The spelling of 12124332 in words is "twelve million, one hundred twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 1801 2244 3366 3602 5403 6732 7204 10806 16209 19811 21612 30617 32418 39622 59433 61234 64836 79244 91851 118866 122468 178299 183702 237732 275553 336787 356598 367404 551106 673574 713196 1010361 1102212 1347148 2020722 3031083 4041444 6062166 12124332