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12172517124 = 2231922839929
BaseRepresentation
bin10110101011000100…
…11101111100000100
31011102022201221100120
423111202131330010
5144412131021444
65331511141540
7610434455055
oct132542357404
934368657316
1012172517124
115187083309
1224386748b0
1311bcb18771
148368c872c
154b399bb19
hex2d589df04

12172517124 has 72 divisors (see below), whose sum is σ = 30085040160. Its totient is φ = 3829984128.

The previous prime is 12172517081. The next prime is 12172517167. The reversal of 12172517124 is 42171527121.

12172517124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12172517081) and next prime (12172517167).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1220992 + ... + 1230920.

It is an arithmetic number, because the mean of its divisors is an integer number (417847780).

Almost surely, 212172517124 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 12172517124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15042520080).

12172517124 is an abundant number, since it is smaller than the sum of its proper divisors (17912523036).

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

12172517124 is a wasteful number, since it uses less digits than its factorization.

12172517124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10257 (or 10236 counting only the distinct ones).

The product of its digits is 7840, while the sum is 33.

The spelling of 12172517124 in words is "twelve billion, one hundred seventy-two million, five hundred seventeen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 283 361 566 722 849 1083 1132 1444 1698 2166 3396 4332 5377 9929 10754 16131 19858 21508 29787 32262 39716 59574 64524 102163 119148 188651 204326 306489 377302 408652 565953 612978 754604 1131906 1225956 2263812 2809907 3584369 5619814 7168738 8429721 10753107 11239628 14337476 16859442 21506214 33718884 43012428 53388233 106776466 160164699 213552932 320329398 640658796 1014376427 2028752854 3043129281 4057505708 6086258562 12172517124