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12001302144 = 27341389041
BaseRepresentation
bin10110010110101010…
…10101011010000000
31010222101120022120000
423023111111122000
5144034313132034
65302513320000
7603255246036
oct131325253200
933871508500
1012001302144
1150a9470a27
1223ab266000
1311934cc420
1481bc7a556
154a392b599
hex2cb555680

12001302144 has 160 divisors (see below), whose sum is σ = 38463472740. Its totient is φ = 3692666880.

The previous prime is 12001302109. The next prime is 12001302151. The reversal of 12001302144 is 44120310021.

It can be written as a sum of positive squares in 2 ways, for example, as 9046292544 + 2955009600 = 95112^2 + 54360^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 90264 + ... + 179304.

Almost surely, 212001302144 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 12001302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19231736370).

12001302144 is an abundant number, since it is smaller than the sum of its proper divisors (26462170596).

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

12001302144 is an equidigital number, since it uses as much as digits as its factorization.

12001302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89080 (or 89059 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12001302144 its reverse (44120310021), we get a palindrome (56121612165).

The spelling of 12001302144 in words is "twelve billion, one million, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 288 312 324 351 384 416 432 468 576 624 648 702 832 864 936 1053 1152 1248 1296 1404 1664 1728 1872 2106 2496 2592 2808 3456 3744 4212 4992 5184 5616 7488 8424 10368 11232 14976 16848 22464 33696 44928 67392 89041 134784 178082 267123 356164 534246 712328 801369 1068492 1157533 1424656 1602738 2136984 2315066 2404107 2849312 3205476 3472599 4273968 4630132 4808214 5698624 6410952 6945198 7212321 8547936 9260264 9616428 10417797 11397248 12821904 13890396 14424642 17095872 18520528 19232856 20835594 25643808 27780792 28849284 31253391 34191744 37041056 38465712 41671188 51287616 55561584 57698568 62506782 74082112 76931424 83342376 93760173 102575232 111123168 115397136 125013564 148164224 153862848 166684752 187520346 222246336 230794272 250027128 307725696 333369504 375040692 444492672 461588544 500054256 666739008 750081384 923177088 1000108512 1333478016 1500162768 2000217024 3000325536 4000434048 6000651072 12001302144