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12140123130 = 2335172644907
BaseRepresentation
bin10110100111001101…
…11001001111111010
31011100001210011011000
423103212321033322
5144330332420010
65324352545430
7606562225662
oct132346711772
934301704130
1012140123130
11516a868213
122429852276
1311b61b5c15
148324951a2
154b0bed7c0
hex2d39b93fa

12140123130 has 64 divisors (see below), whose sum is σ = 34278007680. Its totient is φ = 3046931712.

The previous prime is 12140123123. The next prime is 12140123153. The reversal of 12140123130 is 3132104121.

12140123130 is a `hidden beast` number, since 1 + 2 + 1 + 401 + 231 + 30 = 666.

It is a super-2 number, since 2×121401231302 (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1317864 + ... + 1327043.

It is an arithmetic number, because the mean of its divisors is an integer number (535593870).

Almost surely, 212140123130 is an apocalyptic number.

12140123130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12140123130 is an abundant number, since it is smaller than the sum of its proper divisors (22137884550).

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

12140123130 is a wasteful number, since it uses less digits than its factorization.

12140123130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644940 (or 2644934 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12140123130 its reverse (3132104121), we get a palindrome (15272227251).

The spelling of 12140123130 in words is "twelve billion, one hundred forty million, one hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 2644907 5289814 7934721 13224535 15869442 23804163 26449070 39673605 44963419 47608326 71412489 79347210 89926838 119020815 134890257 142824978 224817095 238041630 269780514 357062445 404670771 449634190 674451285 714124890 809341542 1214012313 1348902570 2023353855 2428024626 4046707710 6070061565 12140123130