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12011030024 = 23753109137271
BaseRepresentation
bin10110010111110100…
…11100011000001000
31011000001212112200212
423023322130120020
5144044310430044
65303502020252
7603434033150
oct131372343010
934001775625
1012011030024
115103a056a4
1223b2577688
131195527176
1481d28d760
154a46eda9e
hex2cbe9c608

12011030024 has 128 divisors (see below), whose sum is σ = 26755660800. Its totient is φ = 4949268480.

The previous prime is 12011029993. The next prime is 12011030029. The reversal of 12011030024 is 42003011021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12011029990 and 12011030008.

It is not an unprimeable number, because it can be changed into a prime (12011030029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44321009 + ... + 44321279.

It is an arithmetic number, because the mean of its divisors is an integer number (209028600).

Almost surely, 212011030024 is an apocalyptic number.

12011030024 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 12011030024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13377830400).

12011030024 is an abundant number, since it is smaller than the sum of its proper divisors (14744630776).

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

12011030024 is a wasteful number, since it uses less digits than its factorization.

12011030024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12011030024 its reverse (42003011021), we get a palindrome (54014041045).

The spelling of 12011030024 in words is "twelve billion, eleven million, thirty thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 53 56 106 109 137 212 218 271 274 371 424 436 542 548 742 763 872 959 1084 1096 1484 1526 1897 1918 2168 2968 3052 3794 3836 5777 6104 7261 7588 7672 11554 14363 14522 14933 15176 23108 28726 29044 29539 29866 37127 40439 46216 50827 57452 58088 59078 59732 74254 80878 100541 101654 104531 114904 118156 119464 148508 161756 201082 203308 206773 209062 236312 259889 297016 323512 402164 406616 413546 418124 519778 791449 804328 827092 836248 1039556 1565567 1582898 1654184 1967731 2079112 3131134 3165796 3935462 4046843 5540143 6262268 6331592 7870924 8093686 10958969 11080286 12524536 13774117 15741848 16187372 21917938 22160572 27548234 28327901 32374744 43835876 44321144 55096468 56655802 87671752 110192936 113311604 214482679 226623208 428965358 857930716 1501378753 1715861432 3002757506 6005515012 12011030024