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12118183040 = 27541895189
BaseRepresentation
bin10110100100100110…
…01100110010000000
31011021112111111000002
423102103030302000
5144304223324130
65322250415132
7606204566465
oct132223146200
934245444002
1012118183040
115159442307
1224224314a8
1311b17a3712
1482d5c366c
154add17b45
hex2d24ccc80

12118183040 has 128 divisors (see below), whose sum is σ = 30015846000. Its totient is φ = 4675010560.

The previous prime is 12118183031. The next prime is 12118183043. The reversal of 12118183040 is 4038181121.

It can be written as a sum of positive squares in 8 ways, for example, as 2023560256 + 10094622784 = 44984^2 + 100472^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12118182994 and 12118183012.

It is not an unprimeable number, because it can be changed into a prime (12118183043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2332766 + ... + 2337954.

Almost surely, 212118183040 is an apocalyptic number.

12118183040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12118183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15007923000).

12118183040 is an abundant number, since it is smaller than the sum of its proper divisors (17897662960).

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

12118183040 is an equidigital number, since it uses as much as digits as its factorization.

12118183040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The spelling of 12118183040 in words is "twelve billion, one hundred eighteen million, one hundred eighty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 89 128 160 164 178 205 320 328 356 410 445 640 656 712 820 890 1312 1424 1640 1780 2624 2848 3280 3560 3649 5189 5248 5696 6560 7120 7298 10378 11392 13120 14240 14596 18245 20756 25945 26240 28480 29192 36490 41512 51890 56960 58384 72980 83024 103780 116768 145960 166048 207560 212749 233536 291920 332096 415120 425498 461821 467072 583840 664192 830240 850996 923642 1063745 1167680 1660480 1701992 1847284 2127490 2309105 2335360 3320960 3403984 3694568 4254980 4618210 6807968 7389136 8509960 9236420 13615936 14778272 17019920 18472840 18934661 27231872 29556544 34039840 36945680 37869322 59113088 68079680 73891360 75738644 94673305 136159360 147782720 151477288 189346610 295565440 302954576 378693220 605909152 757386440 1211818304 1514772880 2423636608 3029545760 6059091520 12118183040