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12124003424 = 2513174339869
BaseRepresentation
bin10110100101010010…
…11001110001100000
31011021221110012001212
423102221121301200
5144312221102144
65323015245252
7606305220521
oct132251316140
934257405055
1012124003424
115161758245
122424379828
1311b2a60a30
1483029a848
154ae5b749e
hex2d2a59c60

12124003424 has 96 divisors (see below), whose sum is σ = 27850949280. Its totient is φ = 5143928832.

The previous prime is 12124003391. The next prime is 12124003457. The reversal of 12124003424 is 42430042121.

It is an interprime number because it is at equal distance from previous prime (12124003391) and next prime (12124003457).

It is a self number, because there is not a number n which added to its sum of digits gives 12124003424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284162 + ... + 324030.

It is an arithmetic number, because the mean of its divisors is an integer number (290114055).

Almost surely, 212124003424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12124003424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13925474640).

12124003424 is an abundant number, since it is smaller than the sum of its proper divisors (15726945856).

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

12124003424 is a wasteful number, since it uses less digits than its factorization.

12124003424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39952 (or 39944 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 12124003424 its reverse (42430042121), we get a palindrome (54554045545).

The spelling of 12124003424 in words is "twelve billion, one hundred twenty-four million, three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 43 52 68 86 104 136 172 208 221 272 344 416 442 544 559 688 731 884 1118 1376 1462 1768 2236 2924 3536 4472 5848 7072 8944 9503 11696 17888 19006 23392 38012 39869 76024 79738 152048 159476 304096 318952 518297 637904 677773 1036594 1275808 1355546 1714367 2073188 2711092 3428734 4146376 5422184 6857468 8292752 8811049 10844368 13714936 16585504 17622098 21688736 22286771 27429872 29144239 35244196 44573542 54859744 58288478 70488392 89147084 116576956 140976784 178294168 233153912 281953568 356588336 378875107 466307824 713176672 757750214 932615648 1515500428 3031000856 6062001712 12124003424