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12001330110 = 2357116777543
BaseRepresentation
bin10110010110101010…
…11100001110111110
31010222101121201220210
423023111130032332
5144034320030420
65302514053250
7603255423420
oct131325341676
933871551823
1012001330110
1150a948aa40
1223ab27a226
13119350c083
1481bc86810
154a39349e0
hex2cb55c3be

12001330110 has 128 divisors (see below), whose sum is σ = 36446920704. Its totient is φ = 2456530560.

The previous prime is 12001330091. The next prime is 12001330139. The reversal of 12001330110 is 1103310021.

It is a super-2 number, since 2×120013301102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115999 + ... + 193541.

It is an arithmetic number, because the mean of its divisors is an integer number (284741568).

Almost surely, 212001330110 is an apocalyptic number.

12001330110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001330110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18223460352).

12001330110 is an abundant number, since it is smaller than the sum of its proper divisors (24445590594).

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

12001330110 is a wasteful number, since it uses less digits than its factorization.

12001330110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77638.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12001330110 its reverse (1103310021), we get a palindrome (13104640131).

The spelling of 12001330110 in words is "twelve billion, one million, three hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 67 70 77 105 110 134 154 165 201 210 231 330 335 385 402 462 469 670 737 770 938 1005 1155 1407 1474 2010 2211 2310 2345 2814 3685 4422 4690 5159 7035 7370 10318 11055 14070 15477 22110 25795 30954 51590 77385 77543 154770 155086 232629 387715 465258 542801 775430 852973 1085602 1163145 1628403 1705946 2326290 2558919 2714005 3256806 4264865 5117838 5195381 5428010 5970811 8142015 8529730 10390762 11941622 12794595 15586143 16284030 17912433 25589190 25976905 29854055 31172286 35824866 36367667 51953810 57149191 59708110 72735334 77930715 89562165 109103001 114298382 155861430 171447573 179124330 181838335 218206002 285745955 342895146 363676670 400044337 545515005 571491910 800088674 857237865 1091030010 1200133011 1714475730 2000221685 2400266022 4000443370 6000665055 12001330110