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12388119168 = 273194141413
BaseRepresentation
bin10111000100110001…
…11011001010000000
31011222100102122202110
423202120323022000
5200332324303133
65405132215320
7615663163335
oct134230731200
934870378673
1012388119168
115287852317
12249890a540
1312256a6439
148573ac98c
154c7888c63
hex2e263b280

12388119168 has 128 divisors (see below), whose sum is σ = 35483515200. Its totient is φ = 3816529920.

The previous prime is 12388119151. The next prime is 12388119169. The reversal of 12388119168 is 86191188321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12388119169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278430 + ... + 319842.

Almost surely, 212388119168 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 12388119168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17741757600).

12388119168 is an abundant number, since it is smaller than the sum of its proper divisors (23095396032).

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

12388119168 is a wasteful number, since it uses less digits than its factorization.

12388119168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41490 (or 41478 counting only the distinct ones).

The product of its digits is 165888, while the sum is 48.

The spelling of 12388119168 in words is "twelve billion, three hundred eighty-eight million, one hundred nineteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 64 76 82 96 114 123 128 152 164 192 228 246 304 328 384 456 492 608 656 779 912 984 1216 1312 1558 1824 1968 2337 2432 2624 3116 3648 3936 4674 5248 6232 7296 7872 9348 12464 15744 18696 24928 37392 41413 49856 74784 82826 99712 124239 149568 165652 248478 299136 331304 496956 662608 786847 993912 1325216 1573694 1697933 1987824 2360541 2650432 3147388 3395866 3975648 4721082 5093799 5300864 6294776 6791732 7951296 9442164 10187598 12589552 13583464 15902592 18884328 20375196 25179104 27166928 32260727 37768656 40750392 50358208 54333856 64521454 75537312 81500784 96782181 100716416 108667712 129042908 151074624 163001568 193564362 217335424 258085816 302149248 326003136 387128724 516171632 652006272 774257448 1032343264 1548514896 2064686528 3097029792 4129373056 6194059584 12388119168