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12117068136 = 23323712373677
BaseRepresentation
bin10110100100011101…
…11100100101101000
31011021110101211122100
423102032330211220
5144303432140021
65322210453400
7606162244155
oct132216744550
934243354570
1012117068136
1151588506a8
122421b94260
1311b14a3104
1482d3b322c
154adb97626
hex2d23bc968

12117068136 has 96 divisors (see below), whose sum is σ = 33740427240. Its totient is φ = 3925615104.

The previous prime is 12117068107. The next prime is 12117068149. The reversal of 12117068136 is 63186071121.

12117068136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11918088900 + 198979236 = 109170^2 + 14106^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12117068136.

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, 3293530 + ... + 3297206.

Almost surely, 212117068136 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 12117068136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16870213620).

12117068136 is an abundant number, since it is smaller than the sum of its proper divisors (21623359104).

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

12117068136 is a wasteful number, since it uses less digits than its factorization.

12117068136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4963 (or 4956 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12117068136 in words is "twelve billion, one hundred seventeen million, sixty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1237 1332 2474 2664 3677 3711 4948 7354 7422 9896 11031 11133 14708 14844 22062 22266 29416 29688 33093 44124 44532 45769 66186 88248 89064 91538 132372 136049 137307 183076 264744 272098 274614 366152 408147 411921 544196 549228 816294 823842 1088392 1098456 1224441 1632588 1647684 2448882 3265176 3295368 4548449 4897764 9096898 9795528 13645347 18193796 27290694 36387592 40936041 54581388 81872082 109162776 163744164 168292613 327488328 336585226 504877839 673170452 1009755678 1346340904 1514633517 2019511356 3029267034 4039022712 6058534068 12117068136