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12224414124 = 22321361342611
BaseRepresentation
bin10110110001010000…
…11100000110101100
31011112221101120122200
423120220130012230
5200013422222444
65341003341500
7611634543216
oct133050340654
934487346580
1012224414124
1152033aa29a
122451b21890
1311ca7b9450
1483d7575b6
154b82ed969
hex2d8a1c1ac

12224414124 has 72 divisors (see below), whose sum is σ = 33332640432. Its totient is φ = 3755134080.

The previous prime is 12224414117. The next prime is 12224414149. The reversal of 12224414124 is 42141442221.

12224414124 is a `hidden beast` number, since 1 + 2 + 2 + 244 + 1 + 412 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265579 + ... + 308189.

Almost surely, 212224414124 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 12224414124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16666320216).

12224414124 is an abundant number, since it is smaller than the sum of its proper divisors (21108226308).

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

12224414124 is a wasteful number, since it uses less digits than its factorization.

12224414124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43247 (or 43242 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

Adding to 12224414124 its reverse (42141442221), we get a palindrome (54365856345).

The spelling of 12224414124 in words is "twelve billion, two hundred twenty-four million, four hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 613 1226 1839 2452 3678 5517 7356 7969 11034 15938 22068 23907 31876 42611 47814 71721 85222 95628 127833 143442 170444 255666 286884 383499 511332 553943 766998 1107886 1533996 1661829 2215772 3323658 4985487 6647316 9970974 19941948 26120543 52241086 78361629 104482172 156723258 235084887 313446516 339567059 470169774 679134118 940339548 1018701177 1358268236 2037402354 3056103531 4074804708 6112207062 12224414124