Search a number
-
+
12004141324 = 2272233779911
BaseRepresentation
bin10110010111000000…
…01010100100001100
31010222120220120011211
423023200022210030
5144041030010244
65303054224204
7603321342400
oct131340124414
933876816154
1012004141324
11510003005a
1223b01b5064
131193c84806
1481c3b9100
154a3cdc934
hex2cb80a90c

12004141324 has 144 divisors (see below), whose sum is σ = 26549268480. Its totient is φ = 4722157440.

The previous prime is 12004141321. The next prime is 12004141327. The reversal of 12004141324 is 42314140021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12004141321) and next prime (12004141327).

It is a junction number, because it is equal to n+sod(n) for n = 12004141295 and 12004141304.

It is not an unprimeable number, because it can be changed into a prime (12004141321) 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 47 ways as a sum of consecutive naturals, for example, 13176429 + ... + 13177339.

It is an arithmetic number, because the mean of its divisors is an integer number (184369920).

Almost surely, 212004141324 is an apocalyptic number.

12004141324 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 12004141324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13274634240).

12004141324 is an abundant number, since it is smaller than the sum of its proper divisors (14545127156).

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

12004141324 is a wasteful number, since it uses less digits than its factorization.

12004141324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12004141324 its reverse (42314140021), we get a palindrome (54318281345).

The spelling of 12004141324 in words is "twelve billion, four million, one hundred forty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 37 46 49 74 79 92 98 148 158 161 196 259 316 322 518 553 644 851 911 1036 1106 1127 1702 1813 1817 1822 2212 2254 2923 3404 3626 3634 3644 3871 4508 5846 5957 6377 7252 7268 7742 11692 11914 12719 12754 15484 20461 20953 23828 25438 25508 33707 40922 41699 41906 44639 50876 67229 67414 71969 81844 83398 83812 89033 89278 134458 134828 143227 143938 146671 166796 178066 178556 235949 268916 286454 287876 293342 356132 470603 471898 503783 572908 586684 775261 941206 943796 1007566 1026697 1550522 1651643 1655287 1882412 2015132 2053394 2662853 3101044 3294221 3303286 3310574 3526481 4106788 5325706 5426827 6588442 6606572 6621148 7052962 10651412 10853654 11587009 13176884 14105924 18639971 21707308 23174018 37279942 37987789 46348036 61245619 74559884 75975578 81109063 122491238 130479797 151951156 162218126 244982476 260959594 324436252 428719333 521919188 857438666 1714877332 3001035331 6002070662 12004141324